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Author ID: weissler.fred-b Recent zbMATH articles by "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
761 Co-Co-Authors
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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

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 2,620 times in 1,778 Documents Cited by Year
The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
360
1990
Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043
Weissler, Fred B.
318
1981
Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034
Weissler, Fred B.
226
1980
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
135
1982
Semilinear evolution equations in Banach spaces. Zbl 0419.47031
Weissler, Fred B.
90
1979
Single point blow-up for a semilinear initial value problem. Zbl 0555.35061
Weissler, Fred B.
85
1984
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
84
1989
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
79
1992
The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072
Weissler, Fred B.
70
1980
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
67
1988
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
58
2002
An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071
Weissler, Fred B.
56
1985
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
55
1998
Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019
Weissler, Fred B.
54
1978
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
42
2008
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
40
1989
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
40
1982
Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011
Souplet, Philippe; Weissler, Fred B.
39
1997
Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024
Weissler, Fred B.
37
1980
Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125
Kavian, Otared; Weissler, Fred B.
33
1994
On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034
Peletier, L. A.; Terman, D.; Weissler, F. B.
32
1986
Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros. Zbl 0695.34020
McLeod, Kevin; Troy, W. C.; Weissler, F. B.
32
1990
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
30
1985
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
28
2013
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.
28
2001
Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation. Zbl 0614.35043
Weissler, Fred B.
23
1986
Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023
Weissler, Fred B.
23
1979
Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065
Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B.
23
2001
Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations. Zbl 0604.34034
Weissler, Fred B.
21
1986
Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061
Souplet, Philippe; Tayachi, Slim; Weissler, Fred B.
19
1996
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.
19
1999
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.
19
2003
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
18
1999
Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball. Zbl 1168.35022
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
15
2009
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
15
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.
13
1992
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
12
1999
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
12
2003
Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2012
On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051
Helffer, Bernard; Weissler, Fred B.
11
1998
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
11
2001
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
11
1996
Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
2003
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2009
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.
10
2015
Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2005
The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values. Zbl 1278.35004
Tayachi, Slim; Weissler, Fred B.
9
2014
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
9
1999
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2014
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
9
2000
Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085
Kavian, Otared; Weissler, Fred B.
8
1990
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
8
1991
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2007
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
7
2009
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
7
1998
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2005
The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B.
7
2016
Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations. Zbl 1355.35020
Ben Slimene, Byrame; Tayachi, Slim; Weissler, Fred B.
7
2017
Some remarks concerning iterative methods for linear systems. Zbl 0827.65035
Weissler, Fred B.
6
1995
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
6
1995
Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376
Weissler, Fred B.
6
2001
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
1993
The nonlinear heat equation involving highly singular initial values and new blowup and life span results. Zbl 1391.35210
Tayachi, Slim; Weissler, Fred B.
5
2018
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2011
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2009
A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
1991
Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041
Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B.
4
1997
Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056
Souplet, Philippe; Weissler, Fred B.
4
1997
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.
4
2017
A solution of the constant coefficient heat equation on \(\mathbb R\) with exceptional asymptotic behavior: an explicit construction. Zbl 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2006
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, Thierry; Dickstein, Flávio; Naumkin, Ivan; Weissler, Fred B.
4
2019
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
3
1989
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2010
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036
Bona, J. L.; Weissler, F. B.
3
2001
Construction of non-linear semi-groups using product formulas. Zbl 0396.47041
Weissler, Fred B.
3
1978
Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2006
Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221
Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B.
2
2013
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2
2006
\(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049
Weissler, Fred B.
1
1986
On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102
Chipot, M.; Weissler, F. B.
1
1988
Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047
Haraux, Alain; Weissler, Fred B.
1
1982
Perturbations of self-similar solutions. Zbl 1409.35120
Cazenave, 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 1391.35210
Tayachi, Slim; Weissler, Fred B.
5
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.
7
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.
4
2017
The heat semigroup on sectorial domains, highly singular initial values and applications. Zbl 1365.35051
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B.
7
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.
10
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.
9
2014
Standing waves of the complex Ginzburg-Landau equation. Zbl 1288.35442
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
9
2014
Finite-time blowup for a complex Ginzburg-Landau equation. Zbl 1284.35411
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
28
2013
Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221
Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B.
2
2013
Multi-scale multi-profile global solutions of parabolic equations in \(\mathbb{R}^N \). Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
12
2012
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
15
2011
Spectral properties of stationary solutions of the nonlinear heat equation. Zbl 1211.35151
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2011
Structural properties of the set of global solutions of the nonlinear heat equation. Zbl 1222.35108
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
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.
15
2009
Global existence and blowup for sign-changing solutions of the nonlinear heat equation. Zbl 1176.35010
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2009
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
7
2009
On the structure of global solutions of the nonlinear heat equation in a ball. Zbl 1183.35171
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2009
An equation whose Fujita critical exponent is not given by scaling. Zbl 1132.35308
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
42
2008
Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). Zbl 1143.35008
Cazenave, 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 1096.35016
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
4
2006
Multiscale asymptotic behavior of a solution of the heat equation on \(\mathbb R^N\). Zbl 1107.35053
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
3
2006
Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Zbl 1180.35476
Cazenave, Thierry; Weissler, Fred B.
2
2006
Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \). Zbl 1208.35101
Cazanave, Thierry; Dickstein, Flávio; Weissler, Fred B.
10
2005
A solution of the heat equation with a continuum of decay rates. Zbl 1085.35039
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
7
2005
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106
Souplet, Philippe; Weissler, Fred B.
19
2003
Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). Zbl 1170.35448
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B.
12
2003
Universal solutions of the heat equation on \(\mathbb{R}^N\). Zbl 1029.35105
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
11
2003
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
58
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.
28
2001
Asymptotically self-similar global solutions of a general semilinear heat equation. Zbl 1002.35065
Snoussi, Seifeddine; Tayachi, Slim; Weissler, Fred B.
23
2001
Self-similar solutions of a nonlinear heat equation. Zbl 0996.35031
Cazenave, Thierry; Dickstein, Flávio; Escobedo, Miguel; Weissler, Fred B.
11
2001
Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation. Zbl 1142.35376
Weissler, Fred B.
6
2001
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036
Bona, J. L.; Weissler, F. B.
3
2001
Scattering theory and self-similar solutions for the nonlinear Schrödinger equation. Zbl 0944.35095
Cazenave, Thierry; Weissler, Fred B.
9
2000
Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0939.35089
Snoussi, S.; Tayachi, S.; Weissler, F. B.
19
1999
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
18
1999
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
12
1999
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
9
1999
Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations. Zbl 0916.35109
Cazenave, Thierry; Weissler, Fred B.
55
1998
On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051
Helffer, Bernard; Weissler, Fred B.
11
1998
More self-similar solutions of the nonlinear Schrödinger equation. Zbl 0990.35121
Cazenave, Thierry; Weissler, Fred B.
7
1998
Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011
Souplet, Philippe; Weissler, Fred B.
39
1997
Localized solutions of sublinear elliptic equations: Loitering at the hilltop. Zbl 0909.35041
Iaia, Joseph A.; Warchall, Henry A.; Weissler, Fred B.
4
1997
Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056
Souplet, Philippe; Weissler, Fred B.
4
1997
Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061
Souplet, Philippe; Tayachi, Slim; Weissler, Fred B.
19
1996
Unstable simple modes of the nonlinear string. Zbl 0866.34044
Cazenave, Thierry; Weissler, Fred B.
11
1996
Some remarks concerning iterative methods for linear systems. Zbl 0827.65035
Weissler, Fred B.
6
1995
Asymptotically periodic solutions for a class of nonlinear coupled oscillators. Zbl 0837.34056
Cazenave, Thierry; Weissler, Fred B.
6
1995
Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0809.35125
Kavian, Otared; Weissler, Fred B.
33
1994
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
5
1993
Rapidly decaying solutions of the nonlinear Schrödinger equation. Zbl 0763.35085
Cazenave, Thierry; Weissler, Fred B.
79
1992
Blow up in \(\mathbb{R}{}^ n\) for a parabolic equation with a damping nonlinear gradient term. Zbl 0795.35051
Alfonsi, Liliane; Weissler, Fred B.
13
1992
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation. Zbl 0733.35094
Cazenave, Thierry; Weissler, Fred B.
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 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
1991
The Cauchy problem for the critical nonlinear Schrödinger equation in \(H^ s\). Zbl 0706.35127
Cazenave, Thierry; Weissler, Fred B.
360
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.
32
1990
Finite energy self-similar solutions of a nonlinear wave equation. Zbl 0726.35085
Kavian, Otared; Weissler, Fred B.
8
1990
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
84
1989
Some remarks on the nonlinear Schrödinger equation in the critical case. Zbl 0694.35170
Cazenave, Thierry; Weissler, Fred B.
40
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Some remarks on the nonlinear Schrödinger equation in the subcritical case. Zbl 0699.35217
Cazenave, Thierry; Weissler, Fred B.
3
1989
The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\). Zbl 0696.35153
Cazenave, Thierry; Weissler, Fred B.
67
1988
On the elliptic problem \(\Delta u-| \nabla u| ^ q+\lambda u^ p=0\). Zbl 0699.35102
Chipot, M.; Weissler, F. B.
1
1988
On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\). Zbl 0615.35034
Peletier, 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 0614.35043
Weissler, Fred B.
23
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.
21
1986
\(L^ p\)-energy and blow-up for a semilinear heat equation. Zbl 0631.35049
Weissler, Fred B.
1
1986
An \(L^{\infty}\) blow-up estimate for a nonlinear heat equation. Zbl 0592.35071
Weissler, Fred B.
56
1985
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
30
1985
Single point blow-up for a semilinear initial value problem. Zbl 0555.35061
Weissler, Fred B.
85
1984
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
135
1982
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
40
1982
Non-unicité pour un problème de Cauchy semi-linéaire. Zbl 0497.35047
Haraux, Alain; Weissler, Fred B.
1
1982
Existence and non-existence of global solutions for a semilinear heat equation. Zbl 0476.35043
Weissler, Fred B.
318
1981
Local existence and nonexistence for semilinear parabolic equations in \(L^p\). Zbl 0443.35034
Weissler, Fred B.
226
1980
The Navier-Stokes initial value problem in \(L^ p\). Zbl 0454.35072
Weissler, Fred B.
70
1980
Logarithmic Sobolev inequalities and hypercontractive estimates on the circle. Zbl 0463.46024
Weissler, Fred B.
37
1980
Semilinear evolution equations in Banach spaces. Zbl 0419.47031
Weissler, Fred B.
90
1979
Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup. Zbl 0433.47023
Weissler, Fred B.
23
1979
Logarithmic Sobolev inequalities for the heat-diffusion semigroup. Zbl 0376.47019
Weissler, Fred B.
54
1978
Construction of non-linear semi-groups using product formulas. Zbl 0396.47041
Weissler, Fred B.
3
1978
all top 5

Cited by 1,681 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
16 Zheng, Jiqiang
14 Carles, Rémi
13 Dickstein, Flávio
13 Nakamura, Makoto
13 Zaag, Hatem
12 Fang, Zhongbo
12 Ferreira, Lucas Catão de Freitas
12 Fujishima, Yohei
12 Ishige, Kazuhiro
11 Fang, Daoyuan
11 Guo, Boling
11 Raphael, Pierre
11 Saanouni, Tarek
11 Wang, Liangwei
10 Banica, Valeria
10 Dodson, Benjamin G.
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 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 Kawakami, Tatsuki
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 Ikeda, Masahiro
7 Inui, Takahisa
7 Ioku, Norisuke
7 Kaikina, Elena Igorevna
7 Kirane, Mokhtar
7 Ma, Li
7 Peral Alonso, Ireneo
7 Seo, Ihyeok
7 Takahashi, Jin
7 Tao, Terence
7 Terraneo, Elide
7 Wang, Mingxin
7 Zhang, Quanguo
6 Castillo, Ricardo
6 Collot, Charles
6 Dias, João-Paulo
6 Fino, Ahmad Z.
6 Gallagher, Isabelle
6 Iwabuchi, Tsukasa
6 Jleli, Mohamed Boussairi
6 Karch, Grzegorz
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 Nakanishi, Kenji
6 Naumkin, Pavel Ivanovich
6 Nishihara, Kenji
6 Quittner, Pavol
...and 1,581 more Authors
all top 5

Cited in 271 Serials

158 Journal of Differential Equations
126 Journal of Mathematical Analysis and Applications
110 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Journal of Functional Analysis
46 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
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Archive for Rational Mechanics and Analysis
30 Communications on Pure and Applied Analysis
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
28 Nonlinear Analysis. Theory, Methods & Applications
27 Communications in Contemporary Mathematics
27 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. Real World Applications
16 Physica D
16 Calculus of Variations and Partial Differential Equations
16 NoDEA. Nonlinear Differential Equations and Applications
15 Computers & Mathematics with Applications
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Boundary Value Problems
12 Nonlinearity
12 Duke Mathematical Journal
11 Applied Mathematics and Computation
11 Acta Mathematica Sinica. English Series
11 SN Partial Differential Equations and Applications
10 Mathematische Zeitschrift
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 SIAM Journal on Mathematical Analysis
10 Journal of Dynamics and Differential Equations
10 Discrete and Continuous Dynamical Systems. Series S
9 Israel Journal of Mathematics
9 Advances in Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Science China. Mathematics
8 Journal d’Analyse Mathématique
8 Revista Matemática Iberoamericana
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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of the European Mathematical Society (JEMS)
7 Differential Equations
7 Mediterranean Journal of Mathematics
7 Journal of Elliptic and Parabolic Equations
6 Manuscripta Mathematica
6 Mathematische Nachrichten
6 Quarterly of Applied Mathematics
6 Annales de l’Institut Henri Poincaré. Physique Théorique
6 Revista Matemática Complutense
6 Advanced Nonlinear Studies
6 Journal of Hyperbolic Differential 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 Annales Henri Poincaré
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. Series II
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 Advances in Difference Equations
4 Analysis and Mathematical Physics
4 Annals of PDE
4 AIMS Mathematics
3 Bulletin of the Australian Mathematical Society
3 Journal of Statistical Physics
3 Theoretical and Mathematical Physics
3 Arkiv för Matematik
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Osaka Journal of Mathematics
3 Results in Mathematics
...and 171 more Serials
all top 5

Cited in 46 Fields

1,600 Partial differential equations (35-XX)
101 Fluid mechanics (76-XX)
100 Functional analysis (46-XX)
99 Operator theory (47-XX)
74 Ordinary differential equations (34-XX)
68 Quantum theory (81-XX)
58 Probability theory and stochastic processes (60-XX)
57 Dynamical systems and ergodic theory (37-XX)
53 Harmonic analysis on Euclidean spaces (42-XX)
48 Global analysis, analysis on manifolds (58-XX)
46 Real functions (26-XX)
45 Numerical analysis (65-XX)
32 Statistical mechanics, structure of matter (82-XX)
26 Mechanics of deformable solids (74-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
18 Biology and other natural sciences (92-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 Potential theory (31-XX)
12 Differential geometry (53-XX)
10 Special functions (33-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Approximations and expansions (41-XX)
7 Information and communication theory, circuits (94-XX)
6 Abstract harmonic analysis (43-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Difference and functional equations (39-XX)
4 Number theory (11-XX)
4 Measure and integration (28-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)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-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