Edit Profile (opens in new tab) Weissler, Fred B. Compute Distance To: Compute Author ID: weissler.fred-b Published as: Weissler, Fred B.; Weissler, F. B.; Weissler, Fred Documents Indexed: 93 Publications since 1978 Co-Authors: 26 Co-Authors with 75 Joint Publications 758 Co-Co-Authors all top 5 Co-Authors 18 single-authored 40 Cazenave, Thierry 23 Dickstein, Flávio 9 Souplet, Philippe 8 Tayachi, Slim 7 Haraux, Alain 5 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 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 Functional Analysis 3 Journal of Differential Equations 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 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 82 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 83 Publications have been cited 2,567 times in 1,739 Documents Cited by ▼ Year ▼ The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127Cazenave, Thierry; Weissler, Fred B. 352 1990 Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043Weissler, Fred B. 311 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034Weissler, Fred B. 220 1980 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049Haraux, Alain; Weissler, Fred B. 134 1982 Semilinear evolution equations in Banach spaces. Zbl 0419.47031Weissler, Fred B. 88 1979 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061Weissler, Fred B. 85 1984 Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010Chipot, M.; Weissler, F. B. 81 1989 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085Cazenave, Thierry; Weissler, Fred B. 78 1992 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072Weissler, Fred B. 70 1980 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153Cazenave, Thierry; Weissler, Fred B. 65 1988 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071Weissler, Fred B. 55 1985 Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109Cazenave, Thierry; Weissler, Fred B. 55 1998 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 54 2002 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019Weissler, Fred B. 53 1978 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170Cazenave, Thierry; Weissler, Fred B. 40 1989 An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 40 2008 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022Mueller, Carl E.; Weissler, Fred B. 39 1982 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011Souplet, Philippe; Weissler, Fred B. 38 1997 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024Weissler, Fred B. 36 1980 On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034Peletier, L. A.; Terman, D.; Weissler, F. B. 32 1986 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 32 1990 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125Kavian, Otared; Weissler, Fred B. 31 1994 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057Mueller, Carl E.; Weissler, Fred B. 30 1985 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. 28 2001 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 27 2013 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043Weissler, Fred B. 23 1986 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023Weissler, Fred B. 22 1979 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 22 2001 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 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 Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106Souplet, Philippe; Weissler, Fred B. 19 2003 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. 18 1996 Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065Souplet, Philippe; Weissler, Fred B. 17 1999 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 Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred 14 2011 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 a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, Flávio; Cazenave, Thierry; 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 Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 12 2012 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051Helffer, Bernard; Weissler, Fred B. 11 1998 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2003 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 11 2001 Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B. 10 2005 Unstable simple modes of the nonlinear string. Zbl 0866.34044Cazenave, Thierry; Weissler, Fred B. 10 1996 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. 10 2015 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 The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004Tayachi, Slim; Weissler, Fred B. 9 2014 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 2014 Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085Kavian, Otared; Weissler, Fred B. 8 1990 The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094Cazenave, Thierry; Weissler, Fred B. 8 1991 More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121Cazenave, Thierry; Weissler, Fred B. 8 1998 Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 8 2009 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 7 2016 A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2005 Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439Bona, Jerry L.; Weissler, Fred B. 7 2009 Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 7 2007 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 6 2017 Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376Weissler, Fred B. 6 2001 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056Cazenave, Thierry; Weissler, Fred B. 6 1995 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 5 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 5 1993 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035Weissler, Fred B. 5 1995 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210Tayachi, Slim; Weissler, Fred B. 5 2018 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 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 2019 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 Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 4 2011 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 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 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. 4 2017 Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036Bona, J. L.; Weissler, F. B. 3 2001 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 Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 3 2010 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217Cazenave, Thierry; Weissler, Fred B. 3 1989 Construction of non-linear semi-groups using product formulas. Zbl 0396.47041Weissler, Fred B. 3 1978 Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476Cazenave, Thierry; Weissler, Fred B. 2 2006 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 \(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049Weissler, Fred B. 1 1986 On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102Chipot, M.; Weissler, F. B. 1 1988 Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047Haraux, Alain; Weissler, Fred B. 1 1982 Perturbations of self-similar solutions. Zbl 1409.35120Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B. 4 2019 The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210Tayachi, Slim; Weissler, Fred B. 5 2018 Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B. 6 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. 4 2017 The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. 7 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. 10 2015 The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004Tayachi, Slim; Weissler, Fred B. 9 2014 Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 9 2014 Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 27 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 14 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. 8 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. 40 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. 19 2003 Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. 12 2003 Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. 11 2003 The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. 54 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. 28 2001 Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B. 22 2001 Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B. 11 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. 17 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. 55 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. 8 1998 Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011Souplet, Philippe; Weissler, Fred B. 38 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. 18 1996 Unstable simple modes of the nonlinear string. Zbl 0866.34044Cazenave, Thierry; Weissler, Fred B. 10 1996 Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056Cazenave, Thierry; Weissler, Fred B. 6 1995 Some remarks concerning iterative methods for linear systems. Zbl 0827.65035Weissler, Fred B. 5 1995 Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125Kavian, Otared; Weissler, Fred B. 31 1994 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 5 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 5 1993 Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085Cazenave, Thierry; Weissler, Fred B. 78 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. 8 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. 352 1990 Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020McLeod, Kevin; Troy, W. C.; Weissler, F. B. 32 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. 81 1989 Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170Cazenave, Thierry; Weissler, Fred B. 40 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 Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217Cazenave, Thierry; Weissler, Fred B. 3 1989 The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153Cazenave, Thierry; Weissler, Fred B. 65 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. 32 1986 Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043Weissler, Fred B. 23 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. 1 1986 An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071Weissler, Fred B. 55 1985 Single point blow-up for a general semilinear heat equation. Zbl 0597.35057Mueller, Carl E.; Weissler, Fred B. 30 1985 Single point blow-up for a semilinear initial value problem. Zbl 0555.35061Weissler, Fred B. 85 1984 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049Haraux, Alain; Weissler, Fred B. 134 1982 Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022Mueller, Carl E.; Weissler, Fred B. 39 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. 311 1981 Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034Weissler, Fred B. 220 1980 The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072Weissler, Fred B. 70 1980 Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024Weissler, Fred B. 36 1980 Semilinear evolution equations in Banach spaces. Zbl 0419.47031Weissler, Fred B. 88 1979 Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023Weissler, Fred B. 22 1979 Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019Weissler, Fred B. 53 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 1,643 Authors 40 Weissler, Fred B. 31 Cazenave, Thierry 31 Souplet, Philippe 23 Ozawa, Tohru 19 Dolbeault, Jean 19 Wang, Baoxiang 19 Zheng, Sining 18 Ogawa, Takayoshi 18 Tayachi, Slim 17 Merle, Frank 16 Miao, Changxing 15 Zheng, Jiqiang 13 Carles, Rémi 13 Dickstein, Flávio 12 Ferreira, Lucas Catão de Freitas 12 Fujishima, Yohei 12 Nakamura, Makoto 12 Zaag, Hatem 11 Fang, Daoyuan 11 Fang, Zhongbo 11 Guo, Boling 11 Ishige, Kazuhiro 11 Raphael, Pierre 11 Saanouni, Tarek 11 Wang, Liangwei 10 Banica, Valeria 10 Furtado, Marcelo Fernandes 10 Hayashi, Nakao 10 Hoshino, Gaku 10 Mu, Chunlai 10 Naumkin, Ivan P. 10 Qi, Yuanwei 10 Yin, Jingxue 9 Cui, Shangbin 9 Dodson, Benjamin G. 9 Escobedo Martínez, Miguel 9 Esteban, Maria J. 9 Gazzola, Filippo 9 Kenig, Carlos Eduardo 9 Loayza, Miguel 9 Ponce, Gustavo 9 Rodríguez-Bernal, Aníbal 9 Shang, Haifeng 9 Winkler, Michael 9 Yang, Zuodong 8 Bona, Jerry Lloyd 8 Chen, Jiecheng 8 Herrero, Miguel Ángel 8 Levine, Howard Allen 8 Loss, Michael 8 Murphy, Jason 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 Figueira, Mário S. R. 7 Galaktionov, Victor Aleksandrovich 7 Giga, Yoshikazu 7 Han, Zheng 7 Ibrahim, Slim 7 Ioku, Norisuke 7 Kaikina, Elena Igorevna 7 Ma, Li 7 Peral Alonso, Ireneo 7 Seo, Ihyeok 7 Takahashi, Jin 7 Tao, Terence 7 Wang, Mingxin 7 Zhang, Quanguo 6 Castillo, Ricardo 6 Collot, Charles 6 Dias, João-Paulo 6 Fino, Ahmad Z. 6 Gallagher, Isabelle 6 Ikeda, Masahiro 6 Inui, Takahisa 6 Iwabuchi, Tsukasa 6 Karch, Grzegorz 6 Kawakami, Tatsuki 6 Kirane, Mokhtar 6 Korpusov, Maksim Olegovich 6 Laurençot, Philippe 6 Li, Yaning 6 Liu, Baiyu 6 Liu, Bingchen 6 Ma, Lingwei 6 Mantzavinos, Dionyssios 6 Martel, Yvan 6 Matano, Hiroshi 6 Naito, Yūki 6 Naumkin, Pavel Ivanovich 6 Nishihara, Kenji 6 Quittner, Pavol 6 Robinson, James Cooper 6 Shakhmurov, Veli B. 6 Sierżȩga, Mikołaj ...and 1,543 more Authors all top 5 Cited in 265 Serials 158 Journal of Differential Equations 121 Journal of Mathematical Analysis and Applications 107 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 72 Journal of Functional Analysis 45 Communications in Partial Differential Equations 37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Transactions of the American Mathematical Society 33 Discrete and Continuous Dynamical Systems 30 Archive for Rational Mechanics and Analysis 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Communications on Pure and Applied Analysis 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Nonlinear Analysis. Theory, Methods & Applications 27 Communications in Contemporary Mathematics 26 Journal of Evolution Equations 24 Proceedings of the American Mathematical Society 23 Communications in Mathematical Physics 23 Journal of Mathematical Physics 22 Applicable Analysis 19 Mathematical Methods in the Applied Sciences 19 Mathematische Annalen 19 Applied Mathematics Letters 18 Nonlinear Analysis. 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Mathematics 9 SN Partial Differential Equations and Applications 8 Journal d’Analyse Mathématique 8 Journal of Nonlinear Science 8 Discrete and Continuous Dynamical Systems. Series B 7 Rocky Mountain Journal of Mathematics 7 Chinese Annals of Mathematics. Series B 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of the European Mathematical Society (JEMS) 7 Differential Equations 7 Mediterranean Journal of Mathematics 6 Manuscripta Mathematica 6 Mathematische Nachrichten 6 Quarterly of Applied Mathematics 6 Revista Matemática Iberoamericana 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of Hyperbolic Differential Equations 6 Journal of Elliptic and Parabolic Equations 5 Mathematical Notes 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 Revista Matemática Complutense 5 Annales Henri Poincaré 5 Advanced Nonlinear Studies 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 International Journal of Differential Equations 5 Séminaire Laurent Schwartz. EDP et Applications 4 Communications on Pure and Applied Mathematics 4 Applied Mathematics and Optimization 4 Archiv der Mathematik 4 Proceedings of the Edinburgh Mathematical Society. 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(English Edition) 3 Stochastic Analysis and Applications ...and 165 more Serials all top 5 Cited in 46 Fields 1,565 Partial differential equations (35-XX) 101 Fluid mechanics (76-XX) 96 Functional analysis (46-XX) 94 Operator theory (47-XX) 76 Ordinary differential equations (34-XX) 67 Quantum theory (81-XX) 58 Probability theory and stochastic processes (60-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 47 Global analysis, analysis on manifolds (58-XX) 44 Real functions (26-XX) 42 Numerical analysis (65-XX) 31 Statistical mechanics, structure of matter (82-XX) 25 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 16 Integral equations (45-XX) 14 Functions of a complex variable (30-XX) 13 Systems theory; control (93-XX) 12 Differential geometry (53-XX) 11 Potential theory (31-XX) 10 Special functions (33-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Approximations and expansions (41-XX) 6 Abstract harmonic analysis (43-XX) 6 Information and communication theory, circuits (94-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-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