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Douglis, Avron

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 Author ID: douglis.avron Published as: Douglis, A.; Douglis, Avron
 Documents Indexed: 30 Publications since 1952, including 4 Books
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Co-Authors

 23 single-authored 4 Nirenberg, Louis 3 Agmon, Shmuel 2 Fabes, Eugene B. 1 Alessandrini, Giovanni 1 Aronszajn, Nachman 1 Morrey, Charles Bradfield jun.
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Serials

 12 Communications on Pure and Applied Mathematics 3 Annales de l’Institut Fourier 2 Journal of Differential Equations 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Mathematische Annalen 1 Annals of Mathematics Studies

Fields

 7 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Functional analysis (46-XX)

Citations contained in zbMATH

23 Publications have been cited 2,202 times in 1,954 Documents Cited by Year
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401
Agmon, S.; Douglis, A.; Nirenberg, Louis
1959
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706
Agmon, S.; Douglis, A.; Nirenberg, Louis
1964
Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002
Douglis, Avron; Nirenberg, Louis
1955
A function-theoretic approach to elliptic systems of equations in two variables. Zbl 0050.31901
Douglis, Avron
1953
Some existence theorems for hyperbolic systems of partial differential equations in two independent variables. Zbl 0047.09101
Douglis, Avron
1952
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Übersetzung aus dem Englischen von L. R. Volevich. Unter Redaktion von M. I. Vishik. Zbl 0104.32305
Agmon, S.; Douglis, A.; Nirenberg, Louis
1962
The continuous dependence of generalized solutions of non-linear partial differential equations upon initial data. Zbl 0117.31102
Douglis, A.
1961
An ordering principle and generalized solutions of certain quasi-linear partial differential equations. Zbl 0084.29503
Douglis, Avron
1959
Uniqueness in Cauchy problems for elliptic systems of equations. Zbl 0050.31902
Douglis, Avron
1953
Solutions in the large for multi-dimensional, non-linear partial differential equations of first order. Zbl 0137.29001
Douglis, Avron
1965
The problem of Cauchy for linear, hyperbolic equations of second order. Zbl 0059.08801
Douglis, Avron
1954
Layering methods for nonlinear partial differential equations of first order. Zbl 0228.35020
Douglis, Avron
1972
On uniqueness in Cauchy problems for elliptic systems of equations. Zbl 0095.30601
Douglis, Avron
1960
On calculating weak solutions of quasi-linear, first-order partial differential equations. Zbl 0196.50105
Douglis, A.
1963
An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030
Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene
1983
The solutions of multidimensional generalized transport equations and their calculation by difference methods. Zbl 0156.16602
Douglis, A.
1966
A criterion for the validity of Huygens’ principle. Zbl 0075.09701
Douglis, Avron
1956
Layering methods for nonlinear partial differential equations of first order. Zbl 0242.35014
Douglis, Avron
1972
A layering method for viscous, incompressible $$L_ p$$ flows occupying $$R^ n$$. Zbl 0591.76001
Douglis, A.; Fabes, E. B.
1984
An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type. Zbl 0407.35049
Douglis, Avron
1979
Properties of weak solutions of generalized radial transport equations. Zbl 0139.29502
Douglis, A.
1965
Function-theoretic properties of certain elliptic systems of first-order linear equations. Zbl 0067.32502
Douglis, Avron
1955
Observations on normal forms of linear hyperbolic equations of second order. Zbl 0059.08901
Douglis, Avron
1954
A layering method for viscous, incompressible $$L_ p$$ flows occupying $$R^ n$$. Zbl 0591.76001
Douglis, A.; Fabes, E. B.
1984
An approximate layering method for the Navier-Stokes equations in bounded cylinders. Zbl 0552.76030
Alessandrini, Giovanni; Douglis, Avron; Fabes, Eugene
1983
An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type. Zbl 0407.35049
Douglis, Avron
1979
Layering methods for nonlinear partial differential equations of first order. Zbl 0228.35020
Douglis, Avron
1972
Layering methods for nonlinear partial differential equations of first order. Zbl 0242.35014
Douglis, Avron
1972
The solutions of multidimensional generalized transport equations and their calculation by difference methods. Zbl 0156.16602
Douglis, A.
1966
Solutions in the large for multi-dimensional, non-linear partial differential equations of first order. Zbl 0137.29001
Douglis, Avron
1965
Properties of weak solutions of generalized radial transport equations. Zbl 0139.29502
Douglis, A.
1965
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706
Agmon, S.; Douglis, A.; Nirenberg, Louis
1964
On calculating weak solutions of quasi-linear, first-order partial differential equations. Zbl 0196.50105
Douglis, A.
1963
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Übersetzung aus dem Englischen von L. R. Volevich. Unter Redaktion von M. I. Vishik. Zbl 0104.32305
Agmon, S.; Douglis, A.; Nirenberg, Louis
1962
The continuous dependence of generalized solutions of non-linear partial differential equations upon initial data. Zbl 0117.31102
Douglis, A.
1961
On uniqueness in Cauchy problems for elliptic systems of equations. Zbl 0095.30601
Douglis, Avron
1960
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401
Agmon, S.; Douglis, A.; Nirenberg, Louis
1959
An ordering principle and generalized solutions of certain quasi-linear partial differential equations. Zbl 0084.29503
Douglis, Avron
1959
A criterion for the validity of Huygens’ principle. Zbl 0075.09701
Douglis, Avron
1956
Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002
Douglis, Avron; Nirenberg, Louis
1955
Function-theoretic properties of certain elliptic systems of first-order linear equations. Zbl 0067.32502
Douglis, Avron
1955
The problem of Cauchy for linear, hyperbolic equations of second order. Zbl 0059.08801
Douglis, Avron
1954
Observations on normal forms of linear hyperbolic equations of second order. Zbl 0059.08901
Douglis, Avron
1954
A function-theoretic approach to elliptic systems of equations in two variables. Zbl 0050.31901
Douglis, Avron
1953
Uniqueness in Cauchy problems for elliptic systems of equations. Zbl 0050.31902
Douglis, Avron
1953
Some existence theorems for hyperbolic systems of partial differential equations in two independent variables. Zbl 0047.09101
Douglis, Avron
1952
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Cited by 2,028 Authors

 49 Nazarov, Sergeĭ Aleksandrovich 24 Maz’ya, Vladimir Gilelevich 12 Chang, Ching Lung 12 Faierman, Melvin 12 Kozlov, Vladimir A. 12 Mitrea, Marius 11 Friedman, Avner 11 Hile, Gerald N. 11 Schechter, Martin 10 Dauge, Monique 10 Pileckas, Konstantin 10 Sweers, Guido H. 9 Ciarlet, Philippe Gaston 9 Dong, Hongjie 9 Geymonat, Giuseppe 9 Gilbert, Robert Pertsch 9 Grubb, Gerd 9 Lions, Pierre-Louis 9 Magenes, Enrico 9 Nečas, Jindřich 9 Panasenko, Grigory P. 8 Amann, Herbert 8 Ashyralyev, Allaberen 8 Berestycki, Henri 8 Crandall, Michael G. 8 Grunau, Hans-Christoph 8 Gunzburger, Max D. 8 Renardy, Michael 8 Schulze, Bert-Wolfgang 8 Soldatov, Aleksandr Pavlovich 8 Solonnikov, Vsevolod Alekseevich 8 Zhu, Changjiang 7 Cardone, Giuseppe 7 Gazzola, Filippo 7 Kinderlehrer, David 7 Lanza de Cristoforis, Massimo 7 Lions, Jacques-Louis 7 Liu, Genqian 7 Miranville, Alain M. 7 Mitrea, Dorina 7 Rabinowitz, Paul Henry 7 Simpson, Henry C. 7 Ströhmer, Gerhard 7 Temam, Roger Meyer 7 Zhong, Xin 6 Amrouche, Chérif 6 Beirão da Veiga, Hugo 6 Brézis, Haïm 6 Brzeźniak, Zdzisław 6 Denk, Robert 6 Li, YanYan 6 Matioc, Bogdan-Vasile 6 Mitrea, Irina 6 Nguyen, Hoai-Minh 6 Novotný, Antonín 6 Pan, Xingbin 6 Robert, Frédéric 6 Sather, Duane 6 Saut, Jean-Claude 6 Taskinen, Jari 6 Turner, Robert E. L. 6 Wang, Zhian 6 Yang, Suh-Yuh 5 Abreu-Blaya, Ricardo 5 Almog, Yaniv 5 Amick, Charles J. 5 Bochev, Pavel B. 5 Borchers, Wolfgang 5 Bory Reyes, Juan 5 Chen, Shuxing 5 Costabel, Martin 5 Dacorogna, Bernard 5 Douglis, Avron 5 Escher, Joachim 5 Galdi, Giovanni Paolo 5 García-Melián, Jorge 5 Giga, Yoshikazu 5 Grisvard, Pierre 5 Kondrat’ev, Vladimir Aleksandrovich 5 Li, Haigang 5 Martell, José María (Chema) 5 Maslennikova, Vera Nikolaevna 5 McOwen, Robert C. 5 Miyakawa, Tetsuro 5 Miyazaki, Yoichi 5 Nirenberg, Louis 5 Pérez, Eugenia 5 Prokudin, Dmitriĭ Alekseevich 5 Sanchez-Palencia, Évariste 5 Slutskij, Andrey S. 5 Spector, Scott J. 5 Tarkhanov, Nikolai N. 5 Turmetov, Batirkhan Khudaybergenovich 5 Zajączkowski, Wojciech M. 4 Acquistapace, Paolo 4 Alessandrini, Giovanni 4 Bao, Jiguang 4 Berchio, Elvise 4 Berger, Melvyn S. 4 Borsuk, Mikhail V. ...and 1,928 more Authors
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Cited in 279 Serials

 130 Journal of Differential Equations 115 Archive for Rational Mechanics and Analysis 88 Journal of Mathematical Analysis and Applications 55 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Journal of Functional Analysis 54 Communications in Partial Differential Equations 50 Journal of Mathematical Sciences (New York) 44 Transactions of the American Mathematical Society 44 Nonlinear Analysis. Theory, Methods & Applications 43 Siberian Mathematical Journal 35 Mathematische Zeitschrift 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Calculus of Variations and Partial Differential Equations 29 Applicable Analysis 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Mathematical Methods in the Applied Sciences 26 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Communications in Mathematical Physics 22 Mathematische Annalen 22 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 21 Applied Mathematics and Computation 20 Complex Variables and Elliptic Equations 18 Numerische Mathematik 18 SIAM Journal on Mathematical Analysis 17 Journal of Elasticity 17 Bulletin of the American Mathematical Society 16 Mathematics of Computation 16 Advances in Mathematics 16 Manuscripta Mathematica 16 Mathematische Nachrichten 16 Proceedings of the American Mathematical Society 15 Journal d’Analyse Mathématique 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 The Journal of Geometric Analysis 14 Journal of Mathematical Physics 14 Journal of Soviet Mathematics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Ukrainian Mathematical Journal 12 Acta Mathematica 11 Mathematical Notes 11 Applied Mathematics and Optimization 11 Numerical Functional Analysis and Optimization 11 Rendiconti del Seminario Matematico della Università di Padova 11 Journal of Mathematical Fluid Mechanics 11 Boundary Value Problems 10 St. Petersburg Mathematical Journal 9 Russian Journal of Mathematical Physics 9 Discrete and Continuous Dynamical Systems 8 Computer Methods in Applied Mechanics and Engineering 8 Israel Journal of Mathematics 8 Journal of Applied Mathematics and Mechanics 8 Lithuanian Mathematical Journal 8 Annales de l’Institut Fourier 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Nonlinear Analysis. Real World Applications 8 Proceedings of the Japan Academy 7 Zeitschrift für Analysis und ihre Anwendungen 7 Acta Applicandae Mathematicae 7 Potential Analysis 7 Abstract and Applied Analysis 6 Communications on Pure and Applied Mathematics 6 Duke Mathematical Journal 6 Integral Equations and Operator Theory 6 Inventiones Mathematicae 6 Proceedings of the Japan Academy. Series A 6 Quarterly of Applied Mathematics 6 Transactions of the Moscow Mathematical Society 6 Applied Numerical Mathematics 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Journal of Evolution Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Analysis 5 Arkiv för Matematik 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 5 Chinese Annals of Mathematics. Series B 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematics Letters 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Communications in Contemporary Mathematics 5 Analysis and Applications (Singapore) 4 Journal of Computational Physics 4 Bulletin de la Société Mathématique de France 4 Czechoslovak Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Nagoya Mathematical Journal 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Revista Matemática Iberoamericana 4 Computational Mathematics and Mathematical Physics 4 Journal of Dynamics and Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 Revista Matemática Complutense 4 Differential Equations 4 Journal of Pseudo-Differential Operators and Applications 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Rocky Mountain Journal of Mathematics ...and 179 more Serials
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Cited in 47 Fields

 1,481 Partial differential equations (35-XX) 347 Fluid mechanics (76-XX) 199 Mechanics of deformable solids (74-XX) 191 Operator theory (47-XX) 148 Numerical analysis (65-XX) 108 Global analysis, analysis on manifolds (58-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 89 Functional analysis (46-XX) 83 Differential geometry (53-XX) 58 Ordinary differential equations (34-XX) 56 Potential theory (31-XX) 48 Functions of a complex variable (30-XX) 32 Biology and other natural sciences (92-XX) 30 Optics, electromagnetic theory (78-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Probability theory and stochastic processes (60-XX) 21 Integral equations (45-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Systems theory; control (93-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Relativity and gravitational theory (83-XX) 16 Real functions (26-XX) 16 Geophysics (86-XX) 10 Quantum theory (81-XX) 8 Approximations and expansions (41-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX)