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: 27 Co-Authors with 77 Joint Publications 826 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 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 85 Publications have been cited 2,943 times in 1,987 Documents Cited by ▼ Year ▼ The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127 Cazenave, Thierry; Weissler, Fred B. 392 1990 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043 Weissler, Fred B. 353 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034 Weissler, Fred B. 256 1980 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049 Haraux, Alain; Weissler, Fred B. 149 1982 Semilinear evolution equations in Banach spaces. Zbl 0419.47031 Weissler, Fred B. 104 1979 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010 Chipot, M.; Weissler, F. B. 89 1989 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085 Cazenave, Thierry; Weissler, Fred B. 89 1992 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061 Weissler, Fred B. 86 1984 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072 Weissler, Fred B. 82 1980 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153 Cazenave, Thierry; Weissler, Fred B. 74 1988 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 65 2002 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071 Weissler, Fred B. 62 1985 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109 Cazenave, Thierry; Weissler, Fred B. 59 1998 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019 Weissler, Fred B. 58 1978 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 56 2008 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170 Cazenave, Thierry; Weissler, Fred B. 50 1989 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022 Mueller, Carl E.; Weissler, Fred B. 45 1982 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024 Weissler, Fred B. 43 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. 37 1994 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034 Peletier, L. A.; Terman, D.; Weissler, F. B. 36 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. 35 1990 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057 Mueller, Carl E.; Weissler, Fred B. 31 1985 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 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 30 2013 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023 Weissler, Fred B. 27 1979 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043 Weissler, Fred B. 26 1986 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065 Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 23 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. 23 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. 23 2003 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 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020 Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 17 2017 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045 Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 16 2011 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 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031 Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 13 2001 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 13 2003 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 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 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 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 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2003 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 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051 Helffer, Bernard; Weissler, Fred B. 11 1998 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2009 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2014 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101 Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 10 2009 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094 Cazenave, Thierry; Weissler, Fred B. 10 1991 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049 Weissler, Fred B. 9 1986 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164 Bona, J. L.; Weissler, F. B. 9 1999 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095 Cazenave, Thierry; Weissler, Fred B. 9 2000 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085 Kavian, Otared; Weissler, Fred B. 9 1990 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056 Cazenave, Thierry; Weissler, Fred B. 8 1995 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 8 2007 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051 Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 8 2016 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121 Cazenave, Thierry; Weissler, Fred B. 7 1998 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210 Tayachi, Slim; Weissler, Fred B. 7 2018 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 7 1989 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 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 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 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. 5 2020 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041 Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B. 4 1997 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 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. 4 2006 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056 Souplet, Philippe; Weissler, Fred B. 4 1997 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 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036 Bona, J. L.; Weissler, F. B. 4 2001 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 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 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 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041 Weissler, Fred B. 3 1978 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 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102 Chipot, M.; Weissler, F. B. 2 1988 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047 Haraux, Alain; Weissler, Fred B. 1 1982 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. 5 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. 7 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. 17 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. 8 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. 11 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 30 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. 12 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. 11 2009 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439 Bona, Jerry L.; Weissler, Fred B. 10 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. 56 2008 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 8 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. 4 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. 10 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. 23 2003 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448 Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 13 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105 Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2003 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046 Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 65 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. 23 2001 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031 Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 13 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. 59 1998 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051 Helffer, Bernard; Weissler, Fred B. 11 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 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041 Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B. 4 1997 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056 Souplet, Philippe; 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. 37 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. 89 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. 10 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. 392 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. 35 1990 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085 Kavian, Otared; Weissler, Fred B. 9 1990 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010 Chipot, M.; Weissler, F. B. 89 1989 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170 Cazenave, Thierry; Weissler, Fred B. 50 1989 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217 Cazenave, Thierry; Weissler, Fred B. 7 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. 74 1988 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102 Chipot, M.; Weissler, F. B. 2 1988 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034 Peletier, L. A.; Terman, D.; Weissler, F. B. 36 1986 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043 Weissler, Fred B. 26 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. 23 1986 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049 Weissler, Fred B. 9 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. 86 1984 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049 Haraux, Alain; Weissler, Fred B. 149 1982 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022 Mueller, Carl E.; Weissler, Fred B. 45 1982 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047 Haraux, Alain; Weissler, Fred B. 1 1982 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043 Weissler, Fred B. 353 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034 Weissler, Fred B. 256 1980 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072 Weissler, Fred B. 82 1980 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024 Weissler, Fred B. 43 1980 Semilinear evolution equations in Banach spaces. Zbl 0419.47031 Weissler, Fred B. 104 1979 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023 Weissler, Fred B. 27 1979 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019 Weissler, Fred B. 58 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 1,893 Authors 42 Weissler, Fred B. 32 Souplet, Philippe 31 Cazenave, Thierry 25 Ozawa, Tohru 22 Ogawa, Takayoshi 21 Wang, Baoxiang 20 Dolbeault, Jean 20 Tayachi, Slim 19 Zheng, Sining 17 Fang, Zhongbo 17 Merle, Frank 16 Miao, Changxing 16 Zheng, Jiqiang 15 Carles, Rémi 14 Fujishima, Yohei 14 Ishige, Kazuhiro 14 Saanouni, Tarek 13 Dickstein, Flávio 13 Nakamura, Makoto 13 Zaag, Hatem 12 Ferreira, Lucas Catão de Freitas 12 Hoshino, Gaku 12 Naumkin, Ivan P. 12 Wang, Liangwei 12 Yin, Jingxue 11 Banica, Valeria 11 Dodson, Benjamin G. 11 Fang, Daoyuan 11 Guo, Boling 11 Hayashi, Nakao 11 Kenig, Carlos Eduardo 11 Raphael, Pierre 10 Furtado, Marcelo Fernandes 10 Ma, Li 10 Mu, Chunlai 10 Qi, Yuanwei 10 Zhou, Jun 9 Bona, Jerry Lloyd 9 Cui, Shangbin 9 Escobedo Martínez, Miguel 9 Esteban, Maria J. 9 Gazzola, Filippo 9 Kaikina, Elena Igorevna 9 Loayza, Miguel 9 Murphy, Jason 9 Ponce, Gustavo 9 Rodríguez-Bernal, Aníbal 9 Shang, Haifeng 9 Takahashi, Jin 9 Vega, Luis 9 Winkler, Michael 9 Yang, Zuodong 8 Chen, Jiecheng 8 Figueira, Mário S. R. 8 Han, Zheng 8 Herrero, Miguel Ángel 8 Ibrahim, Slim 8 Ikeda, Masahiro 8 Inui, Takahisa 8 Ioku, Norisuke 8 Kawakami, Tatsuki 8 Levine, Howard Allen 8 Loss, Michael 8 Punzo, Fabio 8 Troy, William C. 8 Tzvetkov, Nikolay 8 Visan, Monica 8 Yanagida, Eiji 8 Zhang, Quanguo 8 Zhang, Xiaoyi 8 Zhao, Lifeng 7 Abdellaoui, Boumediene 7 Bobkov, Sergey Germanovich 7 Castillo, Ricardo 7 Collot, Charles 7 D’Abbicco, Marcello 7 Fino, Ahmad Z. 7 Galaktionov, Victor Aleksandrovich 7 Gallagher, Isabelle 7 Giga, Yoshikazu 7 Iagar, Razvan Gabriel 7 Karch, Grzegorz 7 Kirane, Mokhtar 7 Liu, Bingchen 7 Naito, Yūki 7 Naumkin, Pavel Ivanovich 7 Peral Alonso, Ireneo 7 Seo, Ihyeok 7 Tao, Terence 7 Terraneo, Elide 7 Wang, Mingxin 7 Xu, Guixiang 6 Biler, Piotr 6 Correia, Simão 6 Dias, João-Paulo 6 Dinh, Van Duong 6 García-Melián, Jorge 6 Iwabuchi, Tsukasa 6 Jleli, Mohamed Boussairi 6 Kavian, Otared ...and 1,793 more Authors all top 5 Cited in 298 Serials 169 Journal of Differential Equations 136 Journal of Mathematical Analysis and Applications 112 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 78 Journal of Functional Analysis 47 Communications in Partial Differential Equations 38 Discrete and Continuous Dynamical Systems 37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 36 Communications on Pure and Applied Analysis 35 Transactions of the American Mathematical Society 35 Journal of Evolution Equations 33 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 29 Communications in Mathematical Physics 29 Communications in Contemporary Mathematics 28 Nonlinear Analysis. Theory, Methods & Applications 27 Journal of Mathematical Physics 25 Proceedings of the American Mathematical Society 24 Mathematical Methods in the Applied Sciences 21 Mathematische Annalen 20 Nonlinearity 20 Applied Mathematics Letters 20 Calculus of Variations and Partial Differential Equations 19 Nonlinear Analysis. Real World Applications 18 NoDEA. Nonlinear Differential Equations and Applications 16 Physica D 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Computers & Mathematics with Applications 15 SIAM Journal on Mathematical Analysis 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Boundary Value Problems 14 SN Partial Differential Equations and Applications 12 Duke Mathematical Journal 12 Mathematische Zeitschrift 12 Discrete and Continuous Dynamical Systems. Series B 11 Applied Mathematics and Computation 11 Acta Mathematica Sinica. English Series 10 Israel Journal of Mathematics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Journal of Dynamics and Differential Equations 10 Discrete and Continuous Dynamical Systems. Series S 9 Journal d’Analyse Mathématique 9 Advances in Mathematics 9 Revista Matemática Iberoamericana 9 Journal of Nonlinear Science 9 Mediterranean Journal of Mathematics 9 Science China. Mathematics 8 Mathematische Nachrichten 8 Chinese Annals of Mathematics. Series B 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of the European Mathematical Society (JEMS) 7 Rocky Mountain Journal of Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Revista Matemática Complutense 7 Annales Henri Poincaré 7 Differential Equations 7 Advances in Nonlinear Analysis 7 Journal of Elliptic and Parabolic Equations 6 Mathematical Notes 6 Applied Mathematics and Optimization 6 Manuscripta Mathematica 6 Quarterly of Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Advanced Nonlinear Studies 6 Journal of Hyperbolic Differential Equations 6 Analysis & PDE 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 Journal of Computational and Applied Mathematics 5 Proceedings of the Japan Academy. Series A 5 Journal of the American Mathematical Society 5 Mathematical and Computer Modelling 5 The Journal of Geometric Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and 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 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 Fractional Calculus & Applied Analysis 4 Journal of Dynamical and Control Systems 4 Qualitative Theory of Dynamical Systems 4 Analysis and Mathematical Physics 4 Mathematics in Engineering 4 Electronic Research Archive ...and 198 more Serials all top 5 Cited in 46 Fields 1,787 Partial differential equations (35-XX) 118 Fluid mechanics (76-XX) 112 Operator theory (47-XX) 110 Functional analysis (46-XX) 77 Ordinary differential equations (34-XX) 71 Quantum theory (81-XX) 70 Probability theory and stochastic processes (60-XX) 67 Dynamical systems and ergodic theory (37-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 62 Real functions (26-XX) 59 Global analysis, analysis on manifolds (58-XX) 49 Numerical analysis (65-XX) 33 Statistical mechanics, structure of matter (82-XX) 30 Mechanics of deformable solids (74-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Optics, electromagnetic theory (78-XX) 21 Biology and other natural sciences (92-XX) 20 Integral equations (45-XX) 18 Functions of a complex variable (30-XX) 16 Systems theory; control (93-XX) 14 Differential geometry (53-XX) 13 Potential theory (31-XX) 11 Special functions (33-XX) 9 Approximations and expansions (41-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Information and communication theory, circuits (94-XX) 8 Measure and integration (28-XX) 7 Difference and functional equations (39-XX) 7 Abstract harmonic analysis (43-XX) 7 Mechanics of particles and systems (70-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-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