# zbMATH — the first resource for mathematics

## Weissler, Fred B.

Compute Distance To:
 Author ID: weissler.fred-b Published as: Weissler, F. B.; Weissler, Fred; Weissler, Fred B.
 Documents Indexed: 93 Publications since 1978
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 Terman, David H. 1 Troy, William C. 1 Vázquez, Leonor 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)

#### Citations contained in zbMATH

83 Publications have been cited 2,416 times in 1,619 Documents Cited by Year
The Cauchy problem for the critical nonlinear Schrödinger equation in $$H^ s$$. Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
1990
Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043
Weissler, Fred B.
1981
Local existence and nonexistence for semilinear parabolic equations in $$L^p$$. Zbl 0443.35034
Weissler, Fred B.
1980
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
1982
Semilinear evolution equations in Banach spaces. Zbl 0419.47031
Weissler, Fred B.
1979
Single point blow-up for a semilinear initial value problem. Zbl 0555.35061
Weissler, Fred B.
1984
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
1989
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
1992
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
The Navier-Stokes initial value problem in $$L^ p$$. Zbl 0454.35072
Weissler, Fred B.
1980
The Cauchy problem for the nonlinear Schrödinger equation in $$H^ 1$$. Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
1988
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
An $$L^{\infty}$$ blow-up estimate for a nonlinear heat equation. Zbl 0592.35071
Weissler, Fred B.
1985
Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019
Weissler, Fred B.
1978
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
2002
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
1982
Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011
Souplet, Philippe; Weissler, Fred B.
1997
Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024
Weissler, Fred B.
1980
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Radial solutions of $$\Delta u+f(u)=0$$ with prescribed numbers of zeros. Zbl 0695.34020
McLeod, Kevin; Troy, W. C.; Weissler, F. B.
1990
On the equation $$\Delta u+x\cdot \nabla u+f(u)=0$$. Zbl 0615.35034
Peletier, L. A.; Terman, D.; Weissler, F. B.
1986
Linear and nonlinear heat equations in $$L^q_\delta$$ spaces and universal bounds for global solutions. Zbl 0993.35023
Fila, Marek; Souplet, Philippe; Weissler, Fred B.
2001
Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125
Kavian, Otared; Weissler, Fred B.
1994
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
1985
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043
Weissler, Fred B.
1986
Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023
Weissler, Fred B.
1979
Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034
Weissler, Fred B.
1986
Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065
Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B.
2001
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.
2003
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
1999
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.
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.
1996
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
2011
Blow up in $$\mathbb{R}{}^ n$$ for a parabolic equation with a damping nonlinear gradient term. Zbl 0795.35051
Alfonsi, Liliane; Weissler, Fred B.
1992
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
1999
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051
Helffer, Bernard; Weissler, Fred B.
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
1999
The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B.
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.
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.
2014
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
2009
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085
Kavian, Otared; Weissler, Fred B.
1990
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2007
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
1995
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
1991
Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376
Weissler, Fred B.
2001
Some remarks concerning iterative methods for linear systems. Zbl 0827.65035
Weissler, Fred B.
1995
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
1989
Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020
Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B.
2017
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
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.
2006
Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041
Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B.
1997
Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056
Souplet, Philippe; Weissler, Fred B.
1997
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
A complete integrable wave equation with a cubic homogeneous nonlinearity. Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1991
The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210
Tayachi, Slim; Weissler, Fred B.
2018
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
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.
2006
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036
Bona, J. L.; Weissler, F. B.
2001
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
Construction of non-linear semi-groups using product formulas. Zbl 0396.47041
Weissler, Fred B.
1978
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
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.
2017
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
$$L^ p$$-energy and blow-up for a semilinear heat equation. Zbl 0631.35049
Weissler, Fred B.
1986
On the elliptic problem $$\Delta u-| \nabla u| ^ q+\lambda u^ p=0$$. Zbl 0699.35102
Chipot, M.; Weissler, F. B.
1988
Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047
Haraux, Alain; Weissler, Fred B.
1982
Polynomial perturbations to the Laplacian $$L^ p$$. Zbl 0458.35049
Weissler, Fred B.
1978
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
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.
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.
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.
2017
The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B.
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.
2015
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2014
The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004
Tayachi, Slim; Weissler, Fred B.
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2013
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2011
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
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.
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2009
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
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.
2009
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2008
Nonparabolic asymptotic limits of solutions of the heat equation on $${\mathbb{R}}^N$$. Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
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.
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.
2006
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2006
Chaotic behavior of solutions of the Navier-Stokes system in $$\mathbb R^N$$. Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2005
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
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.
2003
Universal solutions of a nonlinear heat equation on $$\mathbb R^N$$. Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
2003
Universal solutions of the heat equation on $$\mathbb{R}^N$$. Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2003
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
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.
2001
Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065
Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B.
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
2001
Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376
Weissler, Fred B.
2001
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036
Bona, J. L.; Weissler, F. B.
2001
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
2000
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
1999
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.
1999
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
1999
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
1999
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
1998
On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051
Helffer, Bernard; Weissler, Fred B.
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
1998
Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011
Souplet, Philippe; Weissler, Fred B.
1997
Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041
Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B.
1997
Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056
Souplet, Philippe; Weissler, Fred B.
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.
1996
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
1996
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
1995
Some remarks concerning iterative methods for linear systems. Zbl 0827.65035
Weissler, Fred B.
1995
Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125
Kavian, Otared; Weissler, Fred B.
1994
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
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.
1992
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
1991
A complete integrable wave equation with a cubic homogeneous nonlinearity. Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1991
The Cauchy problem for the critical nonlinear Schrödinger equation in $$H^ s$$. Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
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.
1990
Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085
Kavian, Otared; Weissler, Fred B.
1990
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
1989
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
The Cauchy problem for the nonlinear Schrödinger equation in $$H^ 1$$. Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
1988
On the elliptic problem $$\Delta u-| \nabla u| ^ q+\lambda u^ p=0$$. Zbl 0699.35102
Chipot, M.; Weissler, F. B.
1988
On the equation $$\Delta u+x\cdot \nabla u+f(u)=0$$. Zbl 0615.35034
Peletier, L. A.; Terman, D.; Weissler, F. B.
1986
Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043
Weissler, Fred B.
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.
1986
$$L^ p$$-energy and blow-up for a semilinear heat equation. Zbl 0631.35049
Weissler, Fred B.
1986
An $$L^{\infty}$$ blow-up estimate for a nonlinear heat equation. Zbl 0592.35071
Weissler, Fred B.
1985
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
1985
Single point blow-up for a semilinear initial value problem. Zbl 0555.35061
Weissler, Fred B.
1984
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
1982
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
1982
Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047
Haraux, Alain; Weissler, Fred B.
1982
Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043
Weissler, Fred B.
1981
Local existence and nonexistence for semilinear parabolic equations in $$L^p$$. Zbl 0443.35034
Weissler, Fred B.
1980
The Navier-Stokes initial value problem in $$L^ p$$. Zbl 0454.35072
Weissler, Fred B.
1980
Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024
Weissler, Fred B.
1980
Semilinear evolution equations in Banach spaces. Zbl 0419.47031
Weissler, Fred B.
1979
Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023
Weissler, Fred B.
1979
Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019
Weissler, Fred B.
1978
Construction of non-linear semi-groups using product formulas. Zbl 0396.47041
Weissler, Fred B.
1978
Polynomial perturbations to the Laplacian $$L^ p$$. Zbl 0458.35049
Weissler, Fred B.
1978
all top 5

#### Cited by 1,582 Authors

 40 Weissler, Fred B. 30 Souplet, Philippe 28 Cazenave, Thierry 23 Ozawa, Tohru 19 Zheng, Sining 18 Dolbeault, Jean 18 Wang, Baoxiang 17 Tayachi, Slim 16 Merle, Frank 16 Miao, Changxing 14 Guo, Boling 14 Ogawa, Takayoshi 13 Dickstein, Flávio 12 Carles, Rémi 12 Ferreira, Lucas Catão de Freitas 12 Zheng, Jiqiang 11 Fang, Daoyuan 11 Nakamura, Makoto 11 Ponce, Gustavo 11 Saanouni, Tarek 10 Fujishima, Yohei 10 Ishige, Kazuhiro 10 Kenig, Carlos Eduardo 10 Ma, Li 10 Mu, Chunlai 10 Qi, Yuanwei 10 Zaag, Hatem 9 Banica, Valeria 9 Cui, Shangbin 9 Escobedo Martínez, Miguel 9 Esteban, Maria J. 9 Fang, Zhongbo 9 Hayashi, Nakao 9 Hoshino, Gaku 9 Raphael, Pierre 9 Rodríguez-Bernal, Aníbal 9 Shang, Haifeng 9 Vega, Luis 9 Wang, Liangwei 9 Winkler, Michael 9 Yang, Zuodong 9 Zhang, Xiaoyi 8 Bona, Jerry Lloyd 8 Chen, Jiecheng 8 Gazzola, Filippo 8 Herrero, Miguel Ángel 8 Levine, Howard Allen 8 Loss, Michael 8 Naumkin, Ivan P. 8 Troy, William C. 8 Visan, Monica 8 Yanagida, Eiji 8 Yin, Jingxue 8 Zhang, Jian 8 Zhao, Lifeng 7 Bobkov, Sergey Germanovich 7 Furtado, Marcelo Fernandes 7 Galaktionov, Victor Aleksandrovich 7 Giga, Yoshikazu 7 Murphy, Jason 7 Tao, Terence 7 Wang, Mingxin 7 Zhang, Quanguo 7 Zhou, Jun 6 Chen, Jianqing 6 Dias, João-Paulo 6 Dodson, Benjamin G. 6 Figueira, Mário S. R. 6 Fino, Ahmad Z. 6 Gallagher, Isabelle 6 Han, Zheng 6 Ikeda, Masahiro 6 Inui, Takahisa 6 Kaikina, Elena Igorevna 6 Karch, Grzegorz 6 Korpusov, Maksim Olegovich 6 Laurençot, Philippe 6 Li, Yaning 6 Liu, Baiyu 6 Liu, Bingchen 6 Loayza, Miguel 6 Ma, Lingwei 6 Matano, Hiroshi 6 Naito, Yūki 6 Naumkin, Pavel Ivanovich 6 Nishihara, Kenji 6 Quittner, Pavol 6 Robinson, James Cooper 6 Seo, Ihyeok 6 Sierżȩga, Mikołaj 6 Terraneo, Elide 6 Tzvetkov, Nikolay 6 Xu, Guixiang 6 Yin, Hongming 6 Zhang, Junyong 6 Zhou, Huan-Song 5 Abdellaoui, Boumediene 5 Arrieta, José M. 5 Ben-Artzi, Matania 5 Biler, Piotr ...and 1,482 more Authors
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#### Cited in 245 Serials

 155 Journal of Differential Equations 119 Journal of Mathematical Analysis and Applications 109 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Journal of Functional Analysis 45 Communications in Partial Differential Equations 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 32 Transactions of the American Mathematical Society 31 Discrete and Continuous Dynamical Systems 30 Archive for Rational Mechanics and Analysis 30 Nonlinear Analysis. Theory, Methods & Applications 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Communications in Contemporary Mathematics 25 Communications on Pure and Applied Analysis 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Proceedings of the American Mathematical Society 22 Communications in Mathematical Physics 21 Journal of Mathematical Physics 20 Applicable Analysis 19 Mathematical Methods in the Applied Sciences 19 Applied Mathematics Letters 18 Mathematische Annalen 18 Physica D 16 Computers & Mathematics with Applications 16 Calculus of Variations and Partial Differential Equations 16 Nonlinear Analysis. Real World Applications 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 NoDEA. Nonlinear Differential Equations and Applications 13 Applied Mathematics and Computation 13 Journal of Evolution Equations 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Boundary Value Problems 12 Duke Mathematical Journal 11 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Mathematische Zeitschrift 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Acta Mathematica Sinica. English Series 9 Israel Journal of Mathematics 9 Journal of Dynamics and Differential Equations 9 Science China. Mathematics 8 Journal d’Analyse Mathématique 8 Nonlinearity 7 Rocky Mountain Journal of Mathematics 7 Advances in 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 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 Journal of Nonlinear Science 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Abstract and Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Hyperbolic Differential Equations 6 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Notes 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Advanced Nonlinear Studies 5 Mediterranean Journal of Mathematics 5 International Journal of Differential Equations 4 Communications on Pure and Applied Mathematics 4 Inventiones Mathematicae 4 Probability Theory and Related Fields 4 Forum Mathematicum 4 The Journal of Geometric Analysis 4 The Journal of Fourier Analysis and Applications 4 Revista Matemática Complutense 4 Annales Henri Poincaré 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Bulletin of the Australian Mathematical Society 3 Journal of Statistical Physics 3 Arkiv för Matematik 3 Applied Mathematics and Optimization 3 Archiv der Mathematik 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Soviet Mathematics 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Tohoku Mathematical Journal. Second Series 3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 3 Applied Mathematics and Mechanics. (English Edition) 3 Stochastic Analysis and Applications 3 Acta Applicandae Mathematicae 3 Science in China. Series A 3 Stochastic Processes and their Applications 3 Applied Mathematics. Series B (English Edition) 3 Journal of Mathematical Sciences (New York) 3 Izvestiya: Mathematics 3 Fractional Calculus & Applied Analysis ...and 145 more Serials
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#### Cited in 46 Fields

 1,453 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 90 Functional analysis (46-XX) 83 Operator theory (47-XX) 70 Ordinary differential equations (34-XX) 66 Quantum theory (81-XX) 55 Dynamical systems and ergodic theory (37-XX) 53 Probability theory and stochastic processes (60-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 43 Global analysis, analysis on manifolds (58-XX) 41 Real functions (26-XX) 40 Numerical analysis (65-XX) 32 Statistical mechanics, structure of matter (82-XX) 22 Mechanics of deformable solids (74-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Optics, electromagnetic theory (78-XX) 15 Integral equations (45-XX) 15 Biology and other natural sciences (92-XX) 14 Functions of a complex variable (30-XX) 11 Differential geometry (53-XX) 10 Potential theory (31-XX) 10 Systems theory; control (93-XX) 9 Special functions (33-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Approximations and expansions (41-XX) 6 Abstract harmonic analysis (43-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 1 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 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)