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 804 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 84 Publications have been cited 2,804 times in 1,904 Documents Cited by ▼ Year ▼ The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127Cazenave, Thierry; Weissler, Fred B. 382 1990 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043Weissler, Fred B. 337 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034Weissler, Fred B. 241 1980 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049Haraux, Alain; Weissler, Fred B. 143 1982 Semilinear evolution equations in Banach spaces. Zbl 0419.47031Weissler, Fred B. 98 1979 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085Cazenave, Thierry; Weissler, Fred B. 87 1992 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061Weissler, Fred B. 86 1984 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010Chipot, M.; Weissler, F. B. 85 1989 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072Weissler, Fred B. 79 1980 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153Cazenave, Thierry; Weissler, Fred B. 71 1988 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071Weissler, Fred B. 62 1985 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 61 2002 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109Cazenave, Thierry; Weissler, Fred B. 58 1998 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019Weissler, Fred B. 55 1978 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 51 2008 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170Cazenave, Thierry; Weissler, Fred B. 47 1989 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022Mueller, Carl E.; Weissler, Fred B. 43 1982 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011Souplet, Philippe; Weissler, Fred B. 42 1997 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024Weissler, Fred B. 41 1980 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125Kavian, Otared; Weissler, Fred B. 36 1994 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034Peletier, L. A.; Terman, D.; Weissler, F. B. 33 1986 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 33 1990 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057Mueller, Carl E.; Weissler, Fred B. 31 1985 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 30 2013 Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023Fila, Marek; Souplet, Philippe; Weissler, Fred B. 29 2001 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023Weissler, Fred B. 26 1979 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043Weissler, Fred B. 24 1986 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 23 2001 Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106Souplet, Philippe; Weissler, Fred B. 21 2003 Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034Weissler, Fred B. 21 1986 Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061Souplet, Philippe; Tayachi, Slim; Weissler, Fred B. 19 1996 Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0939.35089Snoussi, S.; Tayachi, S.; Weissler, F. B. 19 1999 Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065Souplet, Philippe; Weissler, Fred B. 18 1999 Unstable simple modes of the nonlinear string. Zbl 0866.34044Cazenave, Thierry; Weissler, Fred B. 15 1996 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 15 2011 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 15 2009 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 13 2001 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, 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 0795.35051Alfonsi, Liliane; Weissler, Fred B. 13 1992 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2003 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 0938.35068Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 12 1999 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B. 12 2015 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 12 2017 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051Helffer, Bernard; Weissler, Fred B. 11 1998 The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004Tayachi, Slim; Weissler, Fred B. 11 2014 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2014 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094Cazenave, Thierry; Weissler, Fred B. 10 1991 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2009 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164Bona, J. L.; Weissler, F. B. 9 1999 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095Cazenave, Thierry; Weissler, Fred B. 9 2000 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085Kavian, Otared; Weissler, Fred B. 8 1990 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056Cazenave, Thierry; Weissler, Fred B. 8 1995 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 8 2016 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121Cazenave, Thierry; Weissler, Fred B. 7 1998 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2007 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439Bona, Jerry L.; Weissler, Fred B. 7 2009 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210Tayachi, Slim; Weissler, Fred B. 7 2018 Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376Weissler, Fred B. 6 2001 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035Weissler, Fred B. 6 1995 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2017 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 5 2019 A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2006 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056Souplet, Philippe; Weissler, Fred B. 4 1997 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041Iaia, 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 1183.35171Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217Cazenave, Thierry; Weissler, Fred B. 4 1989 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041Weissler, Fred B. 3 1978 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036Bona, J. L.; Weissler, F. B. 3 2001 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2010 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476Cazenave, Thierry; Weissler, Fred B. 2 2006 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049Weissler, Fred B. 2 1986 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 2 2013 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047Haraux, Alain; Weissler, Fred B. 1 1982 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102Chipot, M.; Weissler, F. B. 1 1988 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 1 2020 Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value. Zbl 1458.35103Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 1 2020 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 5 2019 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210Tayachi, Slim; Weissler, Fred B. 7 2018 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 12 2017 Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations. Zbl 1377.35046Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 5 2017 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 8 2016 A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation. Zbl 1369.35083Cazenave, 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 1278.35004Tayachi, Slim; Weissler, Fred B. 11 2014 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 30 2013 Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B. 2 2013 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 15 2011 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2010 Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 15 2009 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2009 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439Bona, Jerry L.; Weissler, Fred B. 7 2009 On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2009 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 51 2008 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2007 A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2006 Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2006 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476Cazenave, Thierry; Weissler, Fred B. 2 2006 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039Cazenave, 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 1029.35106Souplet, Philippe; Weissler, Fred B. 21 2003 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 13 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2003 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 61 2002 Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023Fila, Marek; Souplet, Philippe; Weissler, Fred B. 29 2001 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 23 2001 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 13 2001 Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376Weissler, Fred B. 6 2001 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036Bona, J. L.; Weissler, F. B. 3 2001 Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095Cazenave, Thierry; Weissler, Fred B. 9 2000 Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0939.35089Snoussi, S.; Tayachi, S.; Weissler, F. B. 19 1999 Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065Souplet, 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 0938.35068Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 12 1999 Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164Bona, J. L.; Weissler, F. B. 9 1999 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109Cazenave, Thierry; Weissler, Fred B. 58 1998 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051Helffer, Bernard; Weissler, Fred B. 11 1998 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121Cazenave, Thierry; Weissler, Fred B. 7 1998 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011Souplet, Philippe; Weissler, Fred B. 42 1997 Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056Souplet, Philippe; Weissler, Fred B. 4 1997 Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041Iaia, 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 0990.35061Souplet, Philippe; Tayachi, Slim; Weissler, Fred B. 19 1996 Unstable simple modes of the nonlinear string. Zbl 0866.34044Cazenave, Thierry; Weissler, Fred B. 15 1996 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056Cazenave, Thierry; Weissler, Fred B. 8 1995 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035Weissler, Fred B. 6 1995 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125Kavian, Otared; Weissler, Fred B. 36 1994 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 7 1993 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085Cazenave, Thierry; Weissler, Fred B. 87 1992 Blow up in \(\mathbb{R}{}^ n\) for a parabolic equation with a damping nonlinear gradient term. Zbl 0795.35051Alfonsi, Liliane; Weissler, Fred B. 13 1992 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094Cazenave, 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 0755.35009Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127Cazenave, Thierry; Weissler, Fred B. 382 1990 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 33 1990 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085Kavian, Otared; Weissler, Fred B. 8 1990 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010Chipot, M.; Weissler, F. B. 85 1989 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170Cazenave, Thierry; Weissler, Fred B. 47 1989 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217Cazenave, Thierry; Weissler, Fred B. 4 1989 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153Cazenave, Thierry; Weissler, Fred B. 71 1988 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102Chipot, M.; Weissler, F. B. 1 1988 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034Peletier, L. A.; Terman, D.; Weissler, F. B. 33 1986 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043Weissler, Fred B. 24 1986 Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034Weissler, Fred B. 21 1986 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049Weissler, Fred B. 2 1986 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071Weissler, Fred B. 62 1985 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057Mueller, Carl E.; Weissler, Fred B. 31 1985 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061Weissler, Fred B. 86 1984 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049Haraux, Alain; Weissler, Fred B. 143 1982 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022Mueller, Carl E.; Weissler, Fred B. 43 1982 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047Haraux, Alain; Weissler, Fred B. 1 1982 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043Weissler, Fred B. 337 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034Weissler, Fred B. 241 1980 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072Weissler, Fred B. 79 1980 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024Weissler, Fred B. 41 1980 Semilinear evolution equations in Banach spaces. Zbl 0419.47031Weissler, Fred B. 98 1979 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023Weissler, Fred B. 26 1979 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019Weissler, Fred B. 55 1978 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041Weissler, Fred B. 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 1,812 Authors 41 Weissler, Fred B. 32 Souplet, Philippe 31 Cazenave, Thierry 24 Ozawa, Tohru 21 Ogawa, Takayoshi 20 Tayachi, Slim 20 Wang, Baoxiang 19 Dolbeault, Jean 19 Zheng, Sining 17 Merle, Frank 16 Miao, Changxing 16 Zheng, Jiqiang 14 Carles, Rémi 14 Fang, Zhongbo 14 Ishige, Kazuhiro 14 Saanouni, Tarek 13 Dickstein, Flávio 13 Fujishima, Yohei 13 Nakamura, Makoto 13 Zaag, Hatem 12 Ferreira, Lucas Catão de Freitas 12 Hoshino, Gaku 12 Naumkin, Ivan P. 11 Dodson, Benjamin G. 11 Fang, Daoyuan 11 Guo, Boling 11 Hayashi, Nakao 11 Raphael, Pierre 11 Wang, Liangwei 11 Yin, Jingxue 10 Banica, Valeria 10 Furtado, Marcelo Fernandes 10 Kenig, Carlos Eduardo 10 Ma, Li 10 Mu, Chunlai 10 Qi, Yuanwei 9 Cui, Shangbin 9 Escobedo Martínez, Miguel 9 Esteban, Maria J. 9 Gazzola, Filippo 9 Kaikina, Elena Igorevna 9 Loayza, Miguel 9 Ponce, Gustavo 9 Rodríguez-Bernal, Aníbal 9 Shang, Haifeng 9 Winkler, Michael 9 Yang, Zuodong 9 Zhou, Jun 8 Bona, Jerry Lloyd 8 Chen, Jiecheng 8 Figueira, Mário S. R. 8 Han, Zheng 8 Herrero, Miguel Ángel 8 Ibrahim, Slim 8 Kawakami, Tatsuki 8 Levine, Howard Allen 8 Loss, Michael 8 Murphy, Jason 8 Takahashi, Jin 8 Troy, William C. 8 Vega, Luis 8 Visan, Monica 8 Yanagida, Eiji 8 Zhang, Xiaoyi 8 Zhao, Lifeng 7 Abdellaoui, Boumediene 7 Bobkov, Sergey Germanovich 7 Castillo, Ricardo 7 Collot, Charles 7 Fino, Ahmad Z. 7 Galaktionov, Victor Aleksandrovich 7 Gallagher, Isabelle 7 Giga, Yoshikazu 7 Ikeda, Masahiro 7 Inui, Takahisa 7 Ioku, Norisuke 7 Karch, Grzegorz 7 Kirane, Mokhtar 7 Liu, Bingchen 7 Naumkin, Pavel Ivanovich 7 Peral Alonso, Ireneo 7 Seo, Ihyeok 7 Tao, Terence 7 Terraneo, Elide 7 Tzvetkov, Nikolay 7 Wang, Mingxin 7 Zhang, Quanguo 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 6 Korpusov, Maksim Olegovich 6 Laurençot, Philippe 6 Li, Fengjie 6 Li, Yaning 6 Liu, Baiyu ...and 1,712 more Authors all top 5 Cited in 290 Serials 169 Journal of Differential Equations 135 Journal of Mathematical Analysis and Applications 111 Nonlinear Analysis. 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Classe di Scienze. Serie IV 5 Applied Mathematics and Optimization 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and Applied Analysis 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Advances in Difference Equations 5 Analysis & PDE 5 International Journal of Differential Equations 5 Advances in Nonlinear Analysis 5 Annals of PDE 5 Séminaire Laurent Schwartz. EDP et Applications 4 Communications on Pure and Applied Mathematics 4 Chaos, Solitons and Fractals 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Acta Applicandae Mathematicae 4 Probability Theory and Related Fields 4 Forum Mathematicum 4 The Journal of Geometric Analysis 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 Analysis and Mathematical Physics 4 Electronic Research Archive 3 Bulletin of the Australian Mathematical Society 3 Journal of Statistical Physics 3 Theoretical and Mathematical Physics 3 Arkiv för Matematik ...and 190 more Serials all top 5 Cited in 46 Fields 1,715 Partial differential equations (35-XX) 114 Fluid mechanics (76-XX) 106 Functional analysis (46-XX) 105 Operator theory (47-XX) 72 Ordinary differential equations (34-XX) 71 Quantum theory (81-XX) 65 Probability theory and stochastic processes (60-XX) 61 Dynamical systems and ergodic theory (37-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 54 Global analysis, analysis on manifolds (58-XX) 52 Real functions (26-XX) 48 Numerical analysis (65-XX) 33 Statistical mechanics, structure of matter (82-XX) 29 Mechanics of deformable solids (74-XX) 21 Optics, electromagnetic theory (78-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Biology and other natural sciences (92-XX) 19 Integral equations (45-XX) 16 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 13 Differential geometry (53-XX) 13 Systems theory; control (93-XX) 10 Special functions (33-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Approximations and expansions (41-XX) 8 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 6 Abstract harmonic analysis (43-XX) 6 Mechanics of particles and systems (70-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Integral transforms, operational calculus (44-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 2 History and biography (01-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