Edit Profile (opens in new tab) Colombini, Ferruccio Compute Distance To: Compute Author ID: colombini.ferruccio Published as: Colombini, Ferruccio; Colombini, F.; Colombini, Ferrucio; Colombibi, Ferruccio more...less External Links: MGP Documents Indexed: 126 Publications since 1971, including 2 Books 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 39 Co-Authors with 127 Joint Publications 687 Co-Co-Authors all top 5 Co-Authors 9 single-authored 29 Del Santo, Daniele 19 Spagnolo, Sergio 15 Rauch, Jeffrey B. 14 Nishitani, Tatsuo 11 Cicognani, Massimo 10 Pernazza, Ludovico 7 Fanelli, Francesco 7 Kinoshita, Tamotu 7 Lerner, Nicolas 7 Métivier, Guy 7 Orrù, Nicola 6 Grammatico, Cataldo 6 Zuily, Claude 5 Jannelli, Enrico 5 Petkov, Vesselin M. 5 Taglialatela, Giovanni 3 Bony, Jean-Michel 3 De Giorgi, Ennio 3 Luo, Tao 2 Ishida, Haruhisa 2 Kajitani, Kunihiko 2 Murthy, M. K. Venkatesha 1 Ascanelli, Alessia 1 Bove, Antonio 1 Broglia, Fabrizio 1 Carbone, Luciano 1 Cattabriga, Lamberto 1 Cordaro, Paulo D. 1 Crippa, Gianluca 1 Di Flaviano, Mariagrazia 1 Gramchev, Todor V. 1 Koch, Herbert 1 Lannes, David 1 Marino, Antonio 1 Modica, Luciano 1 Piccinini, Livio Clemente 1 Reissig, Michael 1 Tataru, Daniel 1 Trèves, François all top 5 Serials 11 Communications in Partial Differential Equations 10 Journal of Differential Equations 5 Osaka Journal of Mathematics 5 Progress in Nonlinear Differential Equations and Their Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Mathematics of Kyoto University 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal d’Analyse Mathématique 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Journal of Functional Analysis 3 Séminaire Équations aux Dérivées Partielles 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal of Mathematical Analysis and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Mathematical Sciences. University of Tokyo 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Bulletin des Sciences Mathématiques 1 Serdica Mathematical Journal 1 Far East Journal of Applied Mathematics 1 Annals of Mathematics. Second Series 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Bollettino della Unione Matematica Italiana. Series IV 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Graduate Series in Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Analysis & PDE 1 Journal of Pseudo-Differential Operators and Applications 1 Springer INdAM Series all top 5 Fields 127 Partial differential equations (35-XX) 11 General and overarching topics; collections (00-XX) 10 Real functions (26-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 1,075 times in 546 Documents Cited by ▼ Year ▼ Sur les équations hyperboliques avec des coefficients qui ne dependent que du temps. Zbl 0417.35049Colombini, Ferruccio; De Giorgi, Ennio; Spagnolo, Sergio 110 1979 Frontiere orientate di misura minima e questioni collegate. Zbl 0296.49031De Giorgi, E.; Colombini, F.; Piccinini, L. C. 105 1972 An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\). Zbl 0517.35053Colombini, Ferruccio; Spagnolo, Sergio 70 1982 Well-posedness in the Gevrey classes of the Cauchy problem for a non- strictly hyperbolic equation with coefficients depending on time. Zbl 0543.35056Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 70 1983 Hyperbolic operators with non-Lipschitz ceofficients. Zbl 0840.35067Colombini, Ferruccio; Lerner, Nicolas 57 1995 Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients. Zbl 1098.35094Del Santo, Daniele; Colombini, Ferruccio; Kinoshita, Tamotu 34 2002 Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem. Zbl 1097.35092Cicognani, Massimo; Colombini, Ferruccio 28 2006 On the optimal regularity of coefficients in hyperbolic Cauchy problems. Zbl 1037.35038Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael 28 2003 Uniqueness of continuous solutions for BV vector fields. Zbl 1017.35029Colombini, Ferruccio; Lerner, Nicolas 28 2002 Sur la convergence de solutions d’équations paraboliques. Zbl 0354.35009Colombini, Ferruccio; Spagnolo, Sergio 23 1977 Non-uniqueness in hyperbolic Cauchy problems. Zbl 0649.35051Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 21 1987 On the convergence of solutions of hyperbolic equations. Zbl 0375.35034Colombini, Ferruccio; Spagnolo, Sergio 19 1978 Well-posedness in \(C^\infty\) for some weakly hyperbolic equations. Zbl 1007.35045Colombini, Ferruccio; Orrú, Nicola 17 1999 Nonnegative functions as squares or sums of squares. Zbl 1093.26007Bony, Jean-Michel; Broglia, Fabrizio; Colombini, Ferruccio; Pernazza, Ludovico 16 2006 Strong unique continuation for products of elliptic operators of second order. Zbl 1184.35091Colombini, Ferruccio; Koch, Herbert 16 2010 The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041Colombini, Ferruccio; Métivier, Guy 14 2008 On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order. Zbl 1026.35065Colombini, Ferruccio; Kinoshita, Tamotu 14 2002 On the Cauchy problem for finitely degenerate hyperbolic equations of second order. Zbl 1073.35145Colombini, Ferruccio; Ishida, Haruhisa; Orrú, Nicola 13 2000 Some examples of hyperbolic equations without local solvability. Zbl 0702.35146Colombini, Ferruccio; Spagnolo, Sergio 13 1989 Some remarks on strong unique continuation for the Laplace operator and its powers. Zbl 0928.35041Colombini, F.; Grammatico, C. 13 1999 Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089Colombini, F.; Luo, T.; Rauch, J. 13 2003 Uniqueness of \(L^\infty\) solutions for a class of conormal \(BV\) vector fields. Zbl 1064.35033Colombini, Ferruccio; Lerner, Nicolas 12 2005 The Cauchy problem for \(p\)-evolution equations. Zbl 1200.35053Cicognani, Massimo; Colombini, Ferruccio 12 2010 A note on two-dimensional transport with bounded divergence. Zbl 1122.35143Colombini, Ferruccio; Crippa, Gianluca; Rauch, Jeffrey 12 2006 Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey 11 2004 The global Cauchy problem for a vibrating beam equation. Zbl 1201.35124Ascanelli, Alessia; Cicognani, Massimo; Colombini, Ferruccio 11 2009 Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 11 2013 On the regularity of the roots of hyperbolic polynomials. Zbl 1282.26020Colombini, Ferruccio; Orrù, Nicola; Pernazza, Ludovico 10 2012 Sharp regularity of the coefficients in the Cauchy problem for a class of evolution equations. Zbl 1074.35026Cicognani, Massimo; Colombini, Ferruccio 10 2003 Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel 10 2006 On convergence of functionals with unilateral constraints. Zbl 0415.49010Carbone, Luciano; Colombini, Ferruccio 10 1980 Un teorema di regolarità alla frontiera per soluzioni di sistemi ellittici quasi lineari. Zbl 0211.13502Colombini, F. 10 1971 On finitely degenerate hyperbolic operators of second order. Zbl 1068.35078Colombini, Ferruccio; Nishitani, Tatsuo 10 2004 Energy estimates at infinity for hyperbolic equations with oscillating coefficients. Zbl 1109.35011Colombini, Ferruccio 9 2006 Hyperbolic equations with coefficients rapidly oscillating in time: A result of nonstability. Zbl 0589.35073Colombini, Ferruccio; Spagnolo, Sergio 9 1984 Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\). Zbl 1134.35311Colombini, Ferruccio; Rauch, Jeffrey 8 2005 Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 8 2014 The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 8 2015 A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 8 2013 Two by two strongly hyperbolic systems and Gevrey classes. Zbl 0993.35061Colombini, Ferruccio; Nishitani, Tatsuo 8 1999 Local solvability for a class of evolution equations. Zbl 1203.35009Colombini, Ferruccio; Cordaro, Paulo D.; Pernazza, Ludovico 8 2010 Loss of derivatives in evolution Cauchy problems. Zbl 1134.35027Cicognani, Massimo; Colombini, Ferruccio 6 2006 On the Gevrey wellposedness of the Cauchy problem for weakly hyperbolic equations of 4th order. Zbl 1123.35314Colombini, Ferruccio; Kinoshita, Tamotu 6 2002 Smooth localized parametric resonance for wave equations. Zbl 1158.35012Colombini, Ferruccio; Rauch, Jeffrey 6 2008 Well-posedness for hyperbolic higher order operators with finite degeneracy. Zbl 1145.35079Colombini, Ferrucio; Taglialatela, Giovanni 5 2006 On square roots of class \(C^m\) of nonnegative functions of one variable. Zbl 1207.26004Bony, Jean-Michel; Colombini, Ferruccio; Pernazza, Ludovico 5 2010 Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients. Zbl 1037.35037Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 5 2002 A well-posed Cauchy problem for an evolution equation with coefficients of low regularity. Zbl 1272.35136Cicognani, Massimo; Colombini, Ferruccio 5 2013 Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2016 Second order weakly hyperbolic operators with coefficients sum of powers of functions. Zbl 1124.35045Colombini, Ferruccio; Nishitani, Tatsuo 4 2007 On the differentiability class of the admissible square roots of regular nonnegative functions. Zbl 1228.26004Bony, Jean-Michel; Colombini, Ferruccio; Pernazza, Ludovico 4 2006 On the regularity of solutions of hyperbolic equations with discontinuous coefficients variable in time. Zbl 0361.35013Colombini, Ferrucio 4 1977 Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172Colombini, Ferruccio; Métivier, Guy 4 2015 Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2011 Uniqueness and nonuniqueness in the Cauchy problem for degenerate elliptic operators. Zbl 0792.35065Colombini, Ferruccio; del Santo, Daniele; Zuily, Claude 4 1993 Una definizione alternativa per una misura usata nello studio di ipersuperfici minimali. Zbl 0274.49029Colombini, Ferruccio 4 1973 A result on strong uniqueness in Gevrey spaces for some elliptic operators. Zbl 1113.35042Colombini, F.; Grammatico, C. 3 2005 Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem. Zbl 1132.35053Cicognani, Massimo; Colombini, Ferruccio 3 2007 Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems. Zbl 1130.35088Colombini, Ferruccio 3 2007 Sharp finite speed for hyperbolic problems well posed in Gevrey classes. Zbl 1221.35223Colombini, F.; Rauch, J. 3 2011 A note on hyperbolic operators with log-Zygmund coefficients. Zbl 1213.35286Colombini, Ferruccio; Del Santo, Daniele 3 2009 A Caldéron-Zygmund procedure for the problem of the \(k\)-th root. (Une procédure de Calderón-Zygmund pour le problème de la racine \(k\)-iéme.) Zbl 1175.42004Colombini, Ferruccio; Lerner, Nicolas 3 2003 Existence et unicité des solutions des équations hyperboliques du second ordre à coefficients ne dependant que du temps. Zbl 0371.35029Colombini, Ferruccio; De Giorgi, Ennio; Spagnolo, Sergio 3 1978 Weakly hyperbolic systems by symmetrization. Zbl 1435.35230Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey 3 2019 On second order weakly hyperbolic equations and the Gevrey classes. Zbl 0969.35098Colombini, Ferruccio; Nishitani, Tatsuo 3 2000 On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. Zbl 1036.35117Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 3 2003 On the Cauchy problem for hyperbolic operators with non-regular coefficients. Zbl 1036.35122Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 3 2003 Formation of singularities for nonlinear hyperbolic \(2\times 2\) systems with periodic data. Zbl 0892.35094Colombini, Ferruccio; Del Santo, Daniel 3 1997 Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin 2 2009 Quelques remarques sur le problème de Cauchy pour des équations faiblement hyperboliques. (Some remarks on the Cauchy problem for weakly hyperbolic equations). Zbl 0779.35069Colombini, Ferruccio 2 1992 Numerical analysis of very weakly well-posed hyperbolic Cauchy problems. Zbl 1350.65087Colombini, F.; Rauch, J. 2 2015 Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002 2 2017 The Fefferman-Phong inequality in the locally temperate Weyl calculus. Zbl 0884.35182Colombini, Ferruccio; Del Santo, Daniele; Zuily, Claude 2 1996 Development of singularities for nonlinear hyperbolic systems with periodic data. Zbl 0881.35067Colombini, Ferruccio; Del Santo, Daniele 2 1996 Second order hyperbolic equations with coefficients real analytic in space variables and discontinuous in time. Zbl 0476.35051Colombini, Ferruccio; Spagnolo, Sergio 2 1980 Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio 2 1989 Sur la convergence de solutions d’équations paraboliques avec des coefficients qui dependent du temps. Zbl 0341.35008Colombini, Ferruccio; Spagnolo, Sergio 2 1976 Carleman estimates and applications to uniqueness and control theory. Zbl 0966.00010 2 2001 Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) Zbl 0973.35123Colombini, Ferruccio; Nishitani, Tatsuo 2 2001 Strictly hyperbolic operators and approximate energies. Zbl 1050.35044Colombini, Ferruccio; Del Santo, Daniele 2 2003 The Cauchy problem for semilinear second order equations with finite degeneracy. Zbl 1049.35140Colombibi, Ferruccio; Nishitani, Tatsuo; Taglialatela, Giovanni 2 2003 Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040Colombini, Ferruccio; Pernazza, Ludovico; Treves, François 2 2003 Gevrey-well-posedness for weakly hyperbolic operators with Hölder-continuous coefficients. Zbl 1061.35044Colombini, F.; Del Santo, D.; Kinoshita, T. 2 2004 On nonsmooth vector fields. (Sur les champs de vecteurs peu réguliers.) Zbl 1069.35504Colombini, Ferruccio; Lerner, Nicolas 2 2001 Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order. Zbl 1173.35338Colombini, Ferruccio; Ishida, Haruhisa 2 2003 Hyperbolic equations and classes of infinitely differentiable functions. Zbl 0609.35049Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 2 1986 On the regularity of the roots of a polynomial depending on one real parameter. Zbl 1379.26005Colombini, Ferruccio; Orrù, Nicola; Pernazza, Ludovico 1 2017 Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135Colombini, Ferruccio; Petkov, Vesselin 1 2018 A note on complete hyperbolic operators with log-Zygmund coefficients. Zbl 1320.35179Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 1 2014 Some uniqueness results for degenerate elliptic operators in two variables. Zbl 0766.35005Colombini, Ferruccio; Del Santo, Daniele 1 1991 A note on nonhomogeneous hyperbolic operators with low regularity coefficients. Zbl 1227.35189Colombini, Ferruccio; Fanelli, Francesco 1 2010 Optimal well-posedness of the Cauchy problem for evolution equations with \(C^N\) coefficients. Zbl 1150.35351Cicognani, Massimo; Colombini, Ferruccio 1 2004 A simple example of localized parametric resonance for the wave equation. Zbl 1199.35205Colombini, Ferruccio; Rauch, Jeffrey 1 2008 Blow-up for hyperbolic systems in diagonal form. Zbl 0994.35090Colombini, Ferruccio; Del Santo, Daniele 1 2001 A non-uniqueness result for the operators with principal part \(\partial ^ 2_ t+a(t)\partial ^ 2_ x\). Zbl 0694.35030Colombini, Ferruccio; Spagnolo, Sergio 1 1989 Recent developments in hyperbolic equations. Proceedings of the conference of hyperbolic equations, University of Pisa, Italy, 1987. Zbl 0713.00007 1 1988 A counterexample to strong uniqueness for all powers of the Laplace operator. Zbl 0968.35135Colombini, F.; Grammatico, C. 1 2000 On the Cauchy problem for weakly hyperbolic operators. (Sur le problème de Cauchy pour des opérateurs faiblement hyperboliques.) Zbl 1003.35077Colombini, Ferruccio 1 1999 Two by two systems strongly hyperbolic in \(C^\infty\) and in the Gevrey classes. (Systèmes 2 fois 2 fortement hyperboliques dans \(C^\infty\) et dans les classes de Gevrey.) Zbl 0956.35076Colombini, Ferruccio; Nishitani, Tatsuo 1 2000 An example of non-uniqueness for a hyperbolic equation with non-Lipschitz-continuous coefficients. Zbl 1148.35334Colombini, Ferruccio; Del Santo, Daniele 1 2002 Weakly hyperbolic systems by symmetrization. Zbl 1435.35230Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey 3 2019 Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135Colombini, Ferruccio; Petkov, Vesselin 1 2018 Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Zbl 1371.76002 2 2017 On the regularity of the roots of a polynomial depending on one real parameter. Zbl 1379.26005Colombini, Ferruccio; Orrù, Nicola; Pernazza, Ludovico 1 2017 Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2016 The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 8 2015 Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172Colombini, Ferruccio; Métivier, Guy 4 2015 Numerical analysis of very weakly well-posed hyperbolic Cauchy problems. Zbl 1350.65087Colombini, F.; Rauch, J. 2 2015 Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 8 2014 A note on complete hyperbolic operators with log-Zygmund coefficients. Zbl 1320.35179Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 1 2014 Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 11 2013 A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy 8 2013 A well-posed Cauchy problem for an evolution equation with coefficients of low regularity. Zbl 1272.35136Cicognani, Massimo; Colombini, Ferruccio 5 2013 On the regularity of the roots of hyperbolic polynomials. Zbl 1282.26020Colombini, Ferruccio; Orrù, Nicola; Pernazza, Ludovico 10 2012 Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2011 Sharp finite speed for hyperbolic problems well posed in Gevrey classes. Zbl 1221.35223Colombini, F.; Rauch, J. 3 2011 Strong unique continuation for products of elliptic operators of second order. Zbl 1184.35091Colombini, Ferruccio; Koch, Herbert 16 2010 The Cauchy problem for \(p\)-evolution equations. Zbl 1200.35053Cicognani, Massimo; Colombini, Ferruccio 12 2010 Local solvability for a class of evolution equations. Zbl 1203.35009Colombini, Ferruccio; Cordaro, Paulo D.; Pernazza, Ludovico 8 2010 On square roots of class \(C^m\) of nonnegative functions of one variable. Zbl 1207.26004Bony, Jean-Michel; Colombini, Ferruccio; Pernazza, Ludovico 5 2010 A note on nonhomogeneous hyperbolic operators with low regularity coefficients. Zbl 1227.35189Colombini, Ferruccio; Fanelli, Francesco 1 2010 The global Cauchy problem for a vibrating beam equation. Zbl 1201.35124Ascanelli, Alessia; Cicognani, Massimo; Colombini, Ferruccio 11 2009 A note on hyperbolic operators with log-Zygmund coefficients. Zbl 1213.35286Colombini, Ferruccio; Del Santo, Daniele 3 2009 Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin 2 2009 The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041Colombini, Ferruccio; Métivier, Guy 14 2008 Smooth localized parametric resonance for wave equations. Zbl 1158.35012Colombini, Ferruccio; Rauch, Jeffrey 6 2008 A simple example of localized parametric resonance for the wave equation. Zbl 1199.35205Colombini, Ferruccio; Rauch, Jeffrey 1 2008 Second order weakly hyperbolic operators with coefficients sum of powers of functions. Zbl 1124.35045Colombini, Ferruccio; Nishitani, Tatsuo 4 2007 Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem. Zbl 1132.35053Cicognani, Massimo; Colombini, Ferruccio 3 2007 Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems. Zbl 1130.35088Colombini, Ferruccio 3 2007 Modulus of continuity of the coefficients and loss of derivatives in the strictly hyperbolic Cauchy problem. Zbl 1097.35092Cicognani, Massimo; Colombini, Ferruccio 28 2006 Nonnegative functions as squares or sums of squares. Zbl 1093.26007Bony, Jean-Michel; Broglia, Fabrizio; Colombini, Ferruccio; Pernazza, Ludovico 16 2006 A note on two-dimensional transport with bounded divergence. Zbl 1122.35143Colombini, Ferruccio; Crippa, Gianluca; Rauch, Jeffrey 12 2006 Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel 10 2006 Energy estimates at infinity for hyperbolic equations with oscillating coefficients. Zbl 1109.35011Colombini, Ferruccio 9 2006 Loss of derivatives in evolution Cauchy problems. Zbl 1134.35027Cicognani, Massimo; Colombini, Ferruccio 6 2006 Well-posedness for hyperbolic higher order operators with finite degeneracy. Zbl 1145.35079Colombini, Ferrucio; Taglialatela, Giovanni 5 2006 On the differentiability class of the admissible square roots of regular nonnegative functions. Zbl 1228.26004Bony, Jean-Michel; Colombini, Ferruccio; Pernazza, Ludovico 4 2006 Uniqueness of \(L^\infty\) solutions for a class of conormal \(BV\) vector fields. Zbl 1064.35033Colombini, Ferruccio; Lerner, Nicolas 12 2005 Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\). Zbl 1134.35311Colombini, Ferruccio; Rauch, Jeffrey 8 2005 A result on strong uniqueness in Gevrey spaces for some elliptic operators. Zbl 1113.35042Colombini, F.; Grammatico, C. 3 2005 Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey 11 2004 On finitely degenerate hyperbolic operators of second order. Zbl 1068.35078Colombini, Ferruccio; Nishitani, Tatsuo 10 2004 Gevrey-well-posedness for weakly hyperbolic operators with Hölder-continuous coefficients. Zbl 1061.35044Colombini, F.; Del Santo, D.; Kinoshita, T. 2 2004 Optimal well-posedness of the Cauchy problem for evolution equations with \(C^N\) coefficients. Zbl 1150.35351Cicognani, Massimo; Colombini, Ferruccio 1 2004 On the optimal regularity of coefficients in hyperbolic Cauchy problems. Zbl 1037.35038Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael 28 2003 Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089Colombini, F.; Luo, T.; Rauch, J. 13 2003 Sharp regularity of the coefficients in the Cauchy problem for a class of evolution equations. Zbl 1074.35026Cicognani, Massimo; Colombini, Ferruccio 10 2003 A Caldéron-Zygmund procedure for the problem of the \(k\)-th root. (Une procédure de Calderón-Zygmund pour le problème de la racine \(k\)-iéme.) Zbl 1175.42004Colombini, Ferruccio; Lerner, Nicolas 3 2003 On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. Zbl 1036.35117Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 3 2003 On the Cauchy problem for hyperbolic operators with non-regular coefficients. Zbl 1036.35122Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 3 2003 Strictly hyperbolic operators and approximate energies. Zbl 1050.35044Colombini, Ferruccio; Del Santo, Daniele 2 2003 The Cauchy problem for semilinear second order equations with finite degeneracy. Zbl 1049.35140Colombibi, Ferruccio; Nishitani, Tatsuo; Taglialatela, Giovanni 2 2003 Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040Colombini, Ferruccio; Pernazza, Ludovico; Treves, François 2 2003 Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order. Zbl 1173.35338Colombini, Ferruccio; Ishida, Haruhisa 2 2003 The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. Zbl 1052.35108Colombini, Ferruccio; Kajitani, Kunihiko 1 2003 On the Cauchy problem for a weakly hyperbolic operator: an intermediate case between effective hyperbolicity and Levi condition. Zbl 1068.35059Colombini, Ferruccio; di Flaviano, Mariagrazia; Nishitani, Tatsuo 1 2003 Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients. Zbl 1098.35094Del Santo, Daniele; Colombini, Ferruccio; Kinoshita, Tamotu 34 2002 Uniqueness of continuous solutions for BV vector fields. Zbl 1017.35029Colombini, Ferruccio; Lerner, Nicolas 28 2002 On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order. Zbl 1026.35065Colombini, Ferruccio; Kinoshita, Tamotu 14 2002 On the Gevrey wellposedness of the Cauchy problem for weakly hyperbolic equations of 4th order. Zbl 1123.35314Colombini, Ferruccio; Kinoshita, Tamotu 6 2002 Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients. Zbl 1037.35037Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu 5 2002 An example of non-uniqueness for a hyperbolic equation with non-Lipschitz-continuous coefficients. Zbl 1148.35334Colombini, Ferruccio; Del Santo, Daniele 1 2002 Carleman estimates and applications to uniqueness and control theory. Zbl 0966.00010 2 2001 Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) Zbl 0973.35123Colombini, Ferruccio; Nishitani, Tatsuo 2 2001 On nonsmooth vector fields. (Sur les champs de vecteurs peu réguliers.) Zbl 1069.35504Colombini, Ferruccio; Lerner, Nicolas 2 2001 Blow-up for hyperbolic systems in diagonal form. Zbl 0994.35090Colombini, Ferruccio; Del Santo, Daniele 1 2001 On the Cauchy problem for finitely degenerate hyperbolic equations of second order. Zbl 1073.35145Colombini, Ferruccio; Ishida, Haruhisa; Orrú, Nicola 13 2000 On second order weakly hyperbolic equations and the Gevrey classes. Zbl 0969.35098Colombini, Ferruccio; Nishitani, Tatsuo 3 2000 A counterexample to strong uniqueness for all powers of the Laplace operator. Zbl 0968.35135Colombini, F.; Grammatico, C. 1 2000 Two by two systems strongly hyperbolic in \(C^\infty\) and in the Gevrey classes. (Systèmes 2 fois 2 fortement hyperboliques dans \(C^\infty\) et dans les classes de Gevrey.) Zbl 0956.35076Colombini, Ferruccio; Nishitani, Tatsuo 1 2000 Well-posedness in \(C^\infty\) for some weakly hyperbolic equations. Zbl 1007.35045Colombini, Ferruccio; Orrú, Nicola 17 1999 Some remarks on strong unique continuation for the Laplace operator and its powers. Zbl 0928.35041Colombini, F.; Grammatico, C. 13 1999 Two by two strongly hyperbolic systems and Gevrey classes. Zbl 0993.35061Colombini, Ferruccio; Nishitani, Tatsuo 8 1999 On the Cauchy problem for weakly hyperbolic operators. (Sur le problème de Cauchy pour des opérateurs faiblement hyperboliques.) Zbl 1003.35077Colombini, Ferruccio 1 1999 Formation of singularities for nonlinear hyperbolic \(2\times 2\) systems with periodic data. Zbl 0892.35094Colombini, Ferruccio; Del Santo, Daniel 3 1997 The Fefferman-Phong inequality in the locally temperate Weyl calculus. Zbl 0884.35182Colombini, Ferruccio; Del Santo, Daniele; Zuily, Claude 2 1996 Development of singularities for nonlinear hyperbolic systems with periodic data. Zbl 0881.35067Colombini, Ferruccio; Del Santo, Daniele 2 1996 Hyperbolic operators with non-Lipschitz ceofficients. Zbl 0840.35067Colombini, Ferruccio; Lerner, Nicolas 57 1995 Uniqueness and nonuniqueness in the Cauchy problem for degenerate elliptic operators. Zbl 0792.35065Colombini, Ferruccio; del Santo, Daniele; Zuily, Claude 4 1993 Quelques remarques sur le problème de Cauchy pour des équations faiblement hyperboliques. (Some remarks on the Cauchy problem for weakly hyperbolic equations). Zbl 0779.35069Colombini, Ferruccio 2 1992 Some uniqueness results for degenerate elliptic operators in two variables. Zbl 0766.35005Colombini, Ferruccio; Del Santo, Daniele 1 1991 Some examples of hyperbolic equations without local solvability. Zbl 0702.35146Colombini, Ferruccio; Spagnolo, Sergio 13 1989 Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio 2 1989 A non-uniqueness result for the operators with principal part \(\partial ^ 2_ t+a(t)\partial ^ 2_ x\). Zbl 0694.35030Colombini, Ferruccio; Spagnolo, Sergio 1 1989 Recent developments in hyperbolic equations. Proceedings of the conference of hyperbolic equations, University of Pisa, Italy, 1987. Zbl 0713.00007 1 1988 Non-uniqueness in hyperbolic Cauchy problems. Zbl 0649.35051Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 21 1987 Hyperbolic equations and classes of infinitely differentiable functions. Zbl 0609.35049Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 2 1986 Hyperbolic equations with coefficients rapidly oscillating in time: A result of nonstability. Zbl 0589.35073Colombini, Ferruccio; Spagnolo, Sergio 9 1984 Well-posedness in the Gevrey classes of the Cauchy problem for a non- strictly hyperbolic equation with coefficients depending on time. Zbl 0543.35056Colombini, Ferruccio; Jannelli, Enrico; Spagnolo, Sergio 70 1983 An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\). Zbl 0517.35053Colombini, Ferruccio; Spagnolo, Sergio 70 1982 On convergence of functionals with unilateral constraints. Zbl 0415.49010Carbone, Luciano; Colombini, Ferruccio 10 1980 Second order hyperbolic equations with coefficients real analytic in space variables and discontinuous in time. Zbl 0476.35051Colombini, Ferruccio; Spagnolo, Sergio 2 1980 Sur les équations hyperboliques avec des coefficients qui ne dependent que du temps. Zbl 0417.35049Colombini, Ferruccio; De Giorgi, Ennio; Spagnolo, Sergio 110 1979 On the convergence of solutions of hyperbolic equations. Zbl 0375.35034Colombini, Ferruccio; Spagnolo, Sergio 19 1978 Existence et unicité des solutions des équations hyperboliques du second ordre à coefficients ne dependant que du temps. Zbl 0371.35029Colombini, Ferruccio; De Giorgi, Ennio; Spagnolo, Sergio 3 1978 Sur la convergence de solutions d’équations paraboliques. Zbl 0354.35009Colombini, Ferruccio; Spagnolo, Sergio 23 1977 On the regularity of solutions of hyperbolic equations with discontinuous coefficients variable in time. Zbl 0361.35013Colombini, Ferrucio 4 1977 Sur la convergence de solutions d’équations paraboliques avec des coefficients qui dependent du temps. Zbl 0341.35008Colombini, Ferruccio; Spagnolo, Sergio 2 1976 Una definizione alternativa per una misura usata nello studio di ipersuperfici minimali. Zbl 0274.49029Colombini, Ferruccio 4 1973 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 480 Authors 51 Colombini, Ferruccio 21 Ascanelli, Alessia 21 Del Santo, Daniele 20 Spagnolo, Sergio 19 Reissig, Michael 18 Cicognani, Massimo 16 D’Ancona, Piero 16 Ruzhansky, Michael V. 15 Hirosawa, Fumihiko 14 Garetto, Claudia 14 Kinoshita, Tamotu 14 Nishitani, Tatsuo 9 Rauch, Jeffrey B. 9 Taglialatela, Giovanni 8 Ambrosio, Luigi 8 Cappiello, Marco 8 Fanelli, Francesco 8 Manfrin, Renato 8 Petkov, Vesselin M. 8 Rainer, Armin 7 Crippa, Gianluca 7 Federico, Serena 7 Ghisi, Marina 7 Gobbino, Massimo 7 Lu, Xiaojun 7 Prizzi, Martino 6 D’Abbicco, Marcello 6 Dal Maso, Gianni 6 Jabin, Pierre-Emmanuel 6 Jannelli, Enrico 6 Mingione, Giuseppe 6 Orrù, Nicola 5 Alberti, Giovanni 5 Bögelein, Verena 5 Boiti, Chiara 5 Massari, Umberto 5 Miranda, Mario J. 4 Barozzi, Elisabetta 4 Beck, Lisa 4 Bianchini, Stefano 4 Carriero, Michele 4 Casado-Díaz, Juan 4 Congedo, Giuseppe 4 Duzaar, Frank 4 Giusti, Enrico 4 Ishida, Haruhisa 4 Jäh, Christian P. 4 Kiran, N. Uday 4 Leaci, Antonio 4 Métivier, Guy 4 Parmeggiani, Alberto 4 Pattar, Rahul Raju 4 Serra Cassano, Francesco 4 Tamanini, Italo 3 Aliev, Akbar B. 3 Arosio, Alberto 3 Bombieri, Enrico 3 Briane, Marc 3 Buttazzo, Giuseppe 3 Cao, Liqun 3 Couce-Calvo, Julio 3 Deka, Bhupen 3 Denkowski, Zdzislaw 3 Ebert, Marcelo Rempel 3 Figalli, Alessio 3 Giaquinta, Mariano 3 Gonzalez, Eduardo H. A. 3 Gourdin, Daniel 3 Gramchev, Todor V. 3 Han, Qing 3 Kajitani, Kunihiko 3 Koch, Herbert 3 Lerner, Nicolas 3 Lorenz, Daniel 3 Maestre, Faustino 3 Martín-Gómez, José Domingo 3 Oberguggenberger, Michael B. 3 Paronetto, Fabio 3 Parusiński, Adam 3 Pascali, Eduardo 3 Pernazza, Ludovico 3 Sawyer, Eric T. 3 Tokmagambetov, Niyaz Esenzholovich 3 Vessella, Sergio 3 Wang, Jenn-Nan 3 Yagdjian, Karen 2 Agliardi, Rossella 2 Athanassenas, Maria 2 Braides, Andrea 2 Caffarelli, Luis Ángel 2 Caravenna, Laura 2 Chen, Shuhong 2 Clop, Albert 2 Colombo, Maria 2 Corbo Esposito, Antonio 2 Dall’Aglio, Andrea 2 Dalmasso, Robert 2 De Arcangelis, Riccardo 2 De Giorgi, Ennio 2 De Lellis, Camillo ...and 380 more Authors all top 5 Cited in 135 Serials 56 Journal of Differential Equations 28 Journal of Mathematical Analysis and Applications 23 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Rendiconti del Seminario Matematico della Università di Padova 18 Communications in Partial Differential Equations 17 Archive for Rational Mechanics and Analysis 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Calculus of Variations and Partial Differential Equations 11 Transactions of the American Mathematical Society 10 Mathematische Annalen 10 Proceedings of the American Mathematical Society 9 Journal of Functional Analysis 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal d’Analyse Mathématique 8 Manuscripta Mathematica 8 Journal of Hyperbolic Differential Equations 8 Journal of Pseudo-Differential Operators and Applications 7 Osaka Journal of Mathematics 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Mathematische Nachrichten 5 Applied Mathematics and Optimization 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 The Journal of Geometric Analysis 5 Bulletin des Sciences Mathématiques 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Inventiones Mathematicae 4 Journal of Optimization Theory and Applications 4 Monatshefte für Mathematik 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Evolution Equations 4 Annals of PDE 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Acta Mathematica 3 Duke Mathematical Journal 3 Memoirs of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Journal of the European Mathematical Society (JEMS) 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 3 Kyoto Journal of Mathematics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Arkiv för Matematik 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Indiana University Mathematics Journal 2 Journal of Approximation Theory 2 Journal of the Mathematical Society of Japan 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Asymptotic Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics 2 Journal of Global Optimization 2 Annals of Mathematics. Second Series 2 Communications on Pure and Applied Analysis 2 Research in the Mathematical Sciences 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Journal of the American Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Sugaku Expositions 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Journal of Elasticity 1 Linear Algebra and its Applications ...and 35 more Serials all top 5 Cited in 45 Fields 432 Partial differential equations (35-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 36 Functional analysis (46-XX) 30 Real functions (26-XX) 27 Differential geometry (53-XX) 22 Ordinary differential equations (34-XX) 21 Operator theory (47-XX) 21 Mechanics of deformable solids (74-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Numerical analysis (65-XX) 18 Fluid mechanics (76-XX) 17 Measure and integration (28-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 8 Functions of a complex variable (30-XX) 8 Optics, electromagnetic theory (78-XX) 8 Quantum theory (81-XX) 8 Systems theory; control (93-XX) 7 Topological groups, Lie groups (22-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 General topology (54-XX) 5 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year