Edit Profile (opens in new tab) Weissler, Fred B. Co-Author Distance Author ID: weissler.fred-b Published as: Weissler, Fred B.; Weissler, F. B.; Weissler, Fred more...less Documents Indexed: 95 Publications since 1978 Co-Authors: 28 Co-Authors with 77 Joint Publications 905 Co-Co-Authors all top 5 Co-Authors 18 single-authored 40 Cazenave, Thierry 23 Dickstein, Flávio 9 Souplet, Philippe 9 Tayachi, Slim 7 Haraux, Alain 6 Bona, Jerry Lloyd 3 Naumkin, Ivan P. 2 Ben-Artzi, Matania 2 Chipot, Michel 2 Kavian, Otared 2 Mouajria, Hattab 2 Müller, Carl E. 2 Snoussi, Seifeddine 2 Warchall, Henry A. 1 Alfonsi, Liliane 1 Ben Slimene, Byrame 1 Correia, Simão 1 Escobedo Martínez, Miguel 1 Fila, Marek 1 Helffer, Bernard 1 Iaia, Joseph A. 1 McLeod, Kevin 1 Mizoguchi, Noriko 1 Peletier, Lambertus Adrianus 1 Terman, David Hillel 1 Troy, William C. 1 Vázquez, Luis 1 Vento, Stéphane all top 5 Serials 6 Indiana University Mathematics Journal 4 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 Journal of Functional Analysis 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Mathematical Analysis 3 Journal of Dynamics and Differential Equations 3 Advances in Differential Equations 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 American Journal of Mathematics 1 Gazette des Mathématiciens 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Portugaliae Mathematica 1 Quarterly of Applied Mathematics 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 Publicacions Matemàtiques 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences. University of Tokyo 1 NoDEA. Nonlinear Differential Equations and Applications 1 Matemática Contemporânea 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Dynamics of Partial Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences 1 Journal of Elliptic and Parabolic Equations all top 5 Fields 84 Partial differential equations (35-XX) 14 Operator theory (47-XX) 11 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 3 Integral equations (45-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 3,157 times in 2,106 Documents Cited by ▼ Year ▼ The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127 Cazenave, Thierry; Weissler, Fred B. 409 1990 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043 Weissler, Fred B. 371 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034 Weissler, Fred B. 274 1980 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049 Haraux, Alain; Weissler, Fred B. 154 1982 Semilinear evolution equations in Banach spaces. Zbl 0419.47031 Weissler, Fred B. 110 1979 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170 Cazenave, Thierry; Weissler, Fred B. 94 1989 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085 Cazenave, Thierry; Weissler, Fred B. 92 1992 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010 Chipot, M.; Weissler, F. B. 90 1989 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061 Weissler, Fred B. 87 1984 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072 Weissler, Fred B. 84 1980 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153 Cazenave, Thierry; Weissler, Fred B. 77 1988 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 66 2002 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109 Cazenave, Thierry; Weissler, Fred B. 65 1998 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019 Weissler, Fred B. 63 1978 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071 Weissler, Fred B. 62 1985 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 60 2008 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022 Mueller, Carl E.; Weissler, Fred B. 46 1982 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024 Weissler, Fred B. 46 1980 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011 Souplet, Philippe; Weissler, Fred B. 42 1997 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125 Kavian, Otared; Weissler, Fred B. 41 1994 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034 Peletier, L. A.; Terman, D.; Weissler, F. B. 37 1986 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020 McLeod, Kevin; Troy, W. C.; Weissler, F. B. 36 1990 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057 Mueller, Carl E.; Weissler, Fred B. 31 1985 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 31 2013 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049 Weissler, Fred B. 30 1986 Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023 Fila, Marek; Souplet, Philippe; Weissler, Fred B. 30 2001 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023 Weissler, Fred B. 28 1979 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043 Weissler, Fred B. 27 1986 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065 Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 25 2001 Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034 Weissler, Fred B. 24 1986 Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106 Souplet, Philippe; Weissler, Fred B. 24 2003 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020 Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 22 2017 Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0939.35089 Snoussi, S.; Tayachi, S.; Weissler, F. B. 21 1999 Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061 Souplet, Philippe; Tayachi, Slim; Weissler, Fred B. 19 1996 Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065 Souplet, Philippe; Weissler, Fred B. 18 1999 Unstable simple modes of the nonlinear string. Zbl 0866.34044 Cazenave, Thierry; Weissler, Fred B. 17 1996 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 16 2009 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045 Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 16 2011 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 14 1989 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 14 2003 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101 Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 14 2005 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031 Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 14 2001 Blow up in \(\mathbb{R}{}^ n\) for a parabolic equation with a damping nonlinear gradient term. Zbl 0795.35051 Alfonsi, Liliane; Weissler, Fred B. 13 1992 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2003 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2012 On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 12 1999 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051 Helffer, Bernard; Weissler, Fred B. 12 1998 The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004 Tayachi, Slim; Weissler, Fred B. 12 2014 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2009 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2014 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083 Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B. 12 2015 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094 Cazenave, Thierry; Weissler, Fred B. 11 1991 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085 Kavian, Otared; Weissler, Fred B. 11 1990 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 11 2009 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051 Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 10 2016 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095 Cazenave, Thierry; Weissler, Fred B. 9 2000 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164 Bona, J. L.; Weissler, F. B. 9 1999 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 2007 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210 Tayachi, Slim; Weissler, Fred B. 9 2018 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056 Cazenave, Thierry; Weissler, Fred B. 8 1995 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 8 2020 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121 Cazenave, Thierry; Weissler, Fred B. 7 1998 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035 Weissler, Fred B. 6 1995 Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376 Weissler, Fred B. 6 2001 Perturbations of self-similar solutions. Zbl 1409.35120 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 6 2019 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2006 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2017 A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056 Souplet, Philippe; Weissler, Fred B. 4 1997 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041 Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B. 4 1997 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036 Bona, J. L.; Weissler, F. B. 4 2001 On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2010 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089 Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102 Chipot, M.; Weissler, F. B. 3 1988 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041 Weissler, Fred B. 3 1978 New life-span results for the nonlinear heat equation. Zbl 1522.35110 Tayachi, Slim; Weissler, Fred B. 3 2023 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221 Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 3 2013 Sign-changing solutions of the nonlinear heat equation with persistent singularities. Zbl 1459.35249 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 3 2020 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476 Cazenave, Thierry; Weissler, Fred B. 2 2006 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047 Haraux, Alain; Weissler, Fred B. 2 1982 Blowup and ill-posedness for the complex, periodic KdV equation. Zbl 1517.35192 Bona, J. L.; Weissler, F. B. 1 2023 New life-span results for the nonlinear heat equation. Zbl 1522.35110 Tayachi, Slim; Weissler, Fred B. 3 2023 Blowup and ill-posedness for the complex, periodic KdV equation. Zbl 1517.35192 Bona, J. L.; Weissler, F. B. 1 2023 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 8 2020 Sign-changing solutions of the nonlinear heat equation with persistent singularities. Zbl 1459.35249 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 3 2020 Perturbations of self-similar solutions. Zbl 1409.35120 Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 6 2019 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210 Tayachi, Slim; Weissler, Fred B. 9 2018 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020 Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 22 2017 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2017 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051 Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 10 2016 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083 Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B. 12 2015 The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004 Tayachi, Slim; Weissler, Fred B. 12 2014 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 31 2013 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221 Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 3 2013 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2012 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045 Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 16 2011 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2010 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 16 2009 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2009 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 11 2009 On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 60 2008 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 2007 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2006 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476 Cazenave, Thierry; Weissler, Fred B. 2 2006 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101 Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 14 2005 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106 Souplet, Philippe; Weissler, Fred B. 24 2003 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 14 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 13 2003 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 66 2002 Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023 Fila, Marek; Souplet, Philippe; Weissler, Fred B. 30 2001 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065 Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 25 2001 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031 Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 14 2001 Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376 Weissler, Fred B. 6 2001 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036 Bona, J. L.; Weissler, F. B. 4 2001 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095 Cazenave, Thierry; Weissler, Fred B. 9 2000 Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0939.35089 Snoussi, S.; Tayachi, S.; Weissler, F. B. 21 1999 Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065 Souplet, Philippe; Weissler, Fred B. 18 1999 On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 12 1999 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164 Bona, J. L.; Weissler, F. B. 9 1999 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109 Cazenave, Thierry; Weissler, Fred B. 65 1998 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051 Helffer, Bernard; Weissler, Fred B. 12 1998 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121 Cazenave, Thierry; Weissler, Fred B. 7 1998 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011 Souplet, Philippe; Weissler, Fred B. 42 1997 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056 Souplet, Philippe; Weissler, Fred B. 4 1997 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041 Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B. 4 1997 Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061 Souplet, Philippe; Tayachi, Slim; Weissler, Fred B. 19 1996 Unstable simple modes of the nonlinear string. Zbl 0866.34044 Cazenave, Thierry; Weissler, Fred B. 17 1996 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056 Cazenave, Thierry; Weissler, Fred B. 8 1995 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035 Weissler, Fred B. 6 1995 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125 Kavian, Otared; Weissler, Fred B. 41 1994 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085 Cazenave, Thierry; Weissler, Fred B. 92 1992 Blow up in \(\mathbb{R}{}^ n\) for a parabolic equation with a damping nonlinear gradient term. Zbl 0795.35051 Alfonsi, Liliane; Weissler, Fred B. 13 1992 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094 Cazenave, Thierry; Weissler, Fred B. 11 1991 A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009 Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127 Cazenave, Thierry; Weissler, Fred B. 409 1990 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020 McLeod, Kevin; Troy, W. C.; Weissler, F. B. 36 1990 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085 Kavian, Otared; Weissler, Fred B. 11 1990 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170 Cazenave, Thierry; Weissler, Fred B. 94 1989 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010 Chipot, M.; Weissler, F. B. 90 1989 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 14 1989 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089 Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153 Cazenave, Thierry; Weissler, Fred B. 77 1988 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102 Chipot, M.; Weissler, F. B. 3 1988 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034 Peletier, L. A.; Terman, D.; Weissler, F. B. 37 1986 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049 Weissler, Fred B. 30 1986 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043 Weissler, Fred B. 27 1986 Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034 Weissler, Fred B. 24 1986 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071 Weissler, Fred B. 62 1985 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057 Mueller, Carl E.; Weissler, Fred B. 31 1985 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061 Weissler, Fred B. 87 1984 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049 Haraux, Alain; Weissler, Fred B. 154 1982 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022 Mueller, Carl E.; Weissler, Fred B. 46 1982 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047 Haraux, Alain; Weissler, Fred B. 2 1982 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043 Weissler, Fred B. 371 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034 Weissler, Fred B. 274 1980 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072 Weissler, Fred B. 84 1980 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024 Weissler, Fred B. 46 1980 Semilinear evolution equations in Banach spaces. Zbl 0419.47031 Weissler, Fred B. 110 1979 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023 Weissler, Fred B. 28 1979 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019 Weissler, Fred B. 63 1978 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041 Weissler, Fred B. 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 1,983 Authors 42 Weissler, Fred B. 32 Souplet, Philippe 31 Cazenave, Thierry 27 Ozawa, Tohru 24 Ogawa, Takayoshi 23 Tayachi, Slim 22 Dolbeault, Jean 21 Wang, Baoxiang 19 Zheng, Sining 18 Fang, Zhongbo 18 Merle, Frank 16 Ishige, Kazuhiro 16 Miao, Changxing 16 Zheng, Jiqiang 15 Carles, Rémi 15 Fujishima, Yohei 14 Saanouni, Tarek 13 Dickstein, Flávio 13 Ferreira, Lucas Catão de Freitas 13 Hoshino, Gaku 13 Nakamura, Makoto 13 Wang, Liangwei 13 Yin, Jingxue 13 Zaag, Hatem 12 Dodson, Benjamin G. 12 Kenig, Carlos Eduardo 12 Naumkin, Ivan P. 12 Ponce, Gustavo 11 Banica, Valeria 11 Fang, Daoyuan 11 Guo, Boling 11 Hayashi, Nakao 11 Ma, Li 11 Raphael, Pierre 10 Furtado, Marcelo Fernandes 10 Kaikina, Elena Igorevna 10 Mu, Chunlai 10 Punzo, Fabio 10 Qi, Yuanwei 10 Vega, Luis 10 Zhou, Jun 9 Cui, Shangbin 9 Escobedo Martínez, Miguel 9 Esteban, Maria J. 9 Gazzola, Filippo 9 Han, Zheng 9 Ikeda, Masahiro 9 Kawakami, Tatsuki 9 Loayza, Miguel 9 Murphy, Jason 9 Oh, Tadahiro 9 Rodríguez-Bernal, Aníbal 9 Shang, Haifeng 9 Takahashi, Jin 9 Winkler, Michael 9 Yang, Zuodong 9 Zhang, Quanguo 9 Zhang, Xiaoyi 8 Abdellaoui, Boumediene 8 Bona, Jerry Lloyd 8 Chen, Jiecheng 8 Figueira, Mário S. R. 8 Herrero, Miguel Ángel 8 Iagar, Razvan Gabriel 8 Ibrahim, Slim 8 Inui, Takahisa 8 Ioku, Norisuke 8 Karch, Grzegorz 8 Levine, Howard Allen 8 Loss, Michael 8 Troy, William C. 8 Tzvetkov, Nikolay 8 Visan, Monica 8 Yanagida, Eiji 8 Zhao, Lifeng 7 Bobkov, Sergey Germanovich 7 Castillo, Ricardo 7 Collot, Charles 7 Correia, Simão 7 D’Abbicco, Marcello 7 Fino, Ahmad Z. 7 Galaktionov, Victor Aleksandrovich 7 Gallagher, Isabelle 7 Giga, Yoshikazu 7 Himonas, A. Alexandrou 7 Hisa, Kotaro 7 Jleli, Mohamed Boussairi 7 Kirane, Mokhtar 7 Korpusov, Maksim Olegovich 7 Li, Yaning 7 Liu, Bingchen 7 Majdoub, Mohamed 7 Mantzavinos, Dionyssios 7 Naito, Yūki 7 Naumkin, Pavel Ivanovich 7 Peral Alonso, Ireneo 7 Samet, Bessem 7 Sato, Takuya 7 Seo, Ihyeok 7 Shakhmurov, Veli B. ...and 1,883 more Authors all top 5 Cited in 309 Serials 176 Journal of Differential Equations 142 Journal of Mathematical Analysis and Applications 115 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Journal of Functional Analysis 48 Communications in Partial Differential Equations 43 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 41 Journal of Evolution Equations 40 Discrete and Continuous Dynamical Systems 39 Communications on Pure and Applied Analysis 38 Transactions of the American Mathematical Society 35 Mathematical Methods in the Applied Sciences 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Applicable Analysis 30 Archive for Rational Mechanics and Analysis 30 Communications in Mathematical Physics 30 Journal of Mathematical Physics 29 Communications in Contemporary Mathematics 28 Nonlinear Analysis. Theory, Methods & Applications 25 Proceedings of the American Mathematical Society 22 Nonlinearity 22 Calculus of Variations and Partial Differential Equations 21 Mathematische Annalen 21 Physica D 20 Applied Mathematics Letters 20 NoDEA. Nonlinear Differential Equations and Applications 20 Nonlinear Analysis. Real World Applications 18 SIAM Journal on Mathematical Analysis 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Computers & Mathematics with Applications 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Boundary Value Problems 14 SN Partial Differential Equations and Applications 13 Discrete and Continuous Dynamical Systems. Series B 12 Duke Mathematical Journal 12 Mathematische Nachrichten 12 Mathematische Zeitschrift 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Applied Mathematics and Computation 11 Acta Mathematica Sinica. English Series 11 Discrete and Continuous Dynamical Systems. Series S 10 Israel Journal of Mathematics 10 Journal of Dynamics and Differential Equations 9 Journal d’Analyse Mathématique 9 Advances in Mathematics 9 Chinese Annals of Mathematics. Series B 9 Revista Matemática Iberoamericana 9 Journal of Nonlinear Science 9 Journal of the European Mathematical Society (JEMS) 9 Mediterranean Journal of Mathematics 9 Science China. Mathematics 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Rocky Mountain Journal of Mathematics 7 Applied Mathematics and Optimization 7 Acta Mathematicae Applicatae Sinica. English Series 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Revista Matemática Complutense 7 Annales Henri Poincaré 7 Differential Equations 7 Analysis & PDE 7 Advances in Nonlinear Analysis 7 Journal of Elliptic and Parabolic Equations 6 Mathematical Notes 6 Journal of Computational and Applied Mathematics 6 Manuscripta Mathematica 6 Quarterly of Applied Mathematics 6 The Journal of Geometric Analysis 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Advanced Nonlinear Studies 6 Journal of Hyperbolic Differential Equations 6 AIMS Mathematics 5 Communications on Pure and Applied Mathematics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Archiv der Mathematik 5 Inventiones Mathematicae 5 Proceedings of the Japan Academy. Series A 5 Journal of the American Mathematical Society 5 Mathematical and Computer Modelling 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and Applied Analysis 5 Fractional Calculus & Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Advances in Difference Equations 5 International Journal of Differential Equations 5 Annals of PDE 5 Séminaire Laurent Schwartz. EDP et Applications 4 Chaos, Solitons and Fractals 4 Journal of the London Mathematical Society. Second Series 4 Monatshefte für Mathematik 4 Osaka Journal of Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Acta Applicandae Mathematicae 4 Probability Theory and Related Fields 4 Forum Mathematicum 4 Stochastic Processes and their Applications 4 The Journal of Fourier Analysis and Applications 4 Journal of Dynamical and Control Systems 4 Qualitative Theory of Dynamical Systems 4 Analysis and Mathematical Physics ...and 209 more Serials all top 5 Cited in 46 Fields 1,896 Partial differential equations (35-XX) 122 Fluid mechanics (76-XX) 120 Functional analysis (46-XX) 117 Operator theory (47-XX) 79 Ordinary differential equations (34-XX) 75 Quantum theory (81-XX) 74 Probability theory and stochastic processes (60-XX) 73 Real functions (26-XX) 71 Dynamical systems and ergodic theory (37-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 64 Global analysis, analysis on manifolds (58-XX) 53 Numerical analysis (65-XX) 35 Statistical mechanics, structure of matter (82-XX) 30 Mechanics of deformable solids (74-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 24 Optics, electromagnetic theory (78-XX) 23 Biology and other natural sciences (92-XX) 20 Integral equations (45-XX) 17 Functions of a complex variable (30-XX) 16 Systems theory; control (93-XX) 14 Potential theory (31-XX) 14 Special functions (33-XX) 14 Differential geometry (53-XX) 12 Measure and integration (28-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Approximations and expansions (41-XX) 9 Information and communication theory, circuits (94-XX) 8 Abstract harmonic analysis (43-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 7 Mechanics of particles and systems (70-XX) 6 Number theory (11-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Integral transforms, operational calculus (44-XX) 5 Topological groups, Lie groups (22-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 1 Combinatorics (05-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year