Fred B. Weissler

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All published works

Action	Title	Year	Authors
+ PDF Chat	Self-similar solutions for the generalized fractional Korteweg-de Vries equation	2024	Luc Molinet Stéphane Vento Fred B. Weissler
+ PDF	New life-span results for the nonlinear heat equation	2023	Slim Tayachi Fred B. Weissler
+ PDF	Blowup and ill-posedness for the complex, periodic KdV equation	2022	Jerry L. Bona Fred B. Weissler
+	New life-span results for the nonlinear heat equation	2022	Slim Tayachi Fred B. Weissler
+ PDF	Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values	2020	Hattab Mouajria Slim Tayachi Fred B. Weissler
+ PDF	Sign-changing solutions of the nonlinear heat equation with persistent singularities	2020	Thierry Cazenave Flávio Dickstein Ivan Naumkin Fred B. Weissler
+ PDF Chat	Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value	2020	Thierry Cazenave Flávio Dickstein Ivan Naumkin Fred B. Weissler
+	Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values	2019	Hattab Mouajria Slim Tayachi Fred B. Weissler
+ PDF Chat	Perturbations of self-similar solutions	2019	Thierry Cazenave Flávio Dickstein Ivan Naumkin Fred B. Weissler
+	Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values	2019	Hattab Mouajria Slim Tayachi Fred B. Weissler
+ PDF	The nonlinear heat equation involving highly singular initial values and new blowup and life span results	2018	Slim Tayachi Fred B. Weissler
+	The nonlinear heat equation involving highly singular initial values and new blowup and life span results	2017	Slim Tayachi Fred B. Weissler
+	Well-posedness, global existence and large time behavior for Hardy–Hénon parabolic equations	2017	Byrame Ben Slimene Slim Tayachi Fred B. Weissler
+	The nonlinear heat equation involving highly singular initial values and new blowup and life span results	2017	Slim Tayachi Fred B. Weissler
+ PDF	NON-REGULARITY IN HÖLDER AND SOBOLEV SPACES OF SOLUTIONS TO THE SEMILINEAR HEAT AND SCHRÖDINGER EQUATIONS	2016	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	The heat semigroup on sectorial domains, highly singular initial values and applications	2015	Hattab Mouajria Slim Tayachi Fred B. Weissler
+ PDF	A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation	2015	Thierry Cazenave Simão Correia Flávio Dickstein Fred B. Weissler
+ PDF Chat	Standing waves of the complex Ginzburg–Landau equation	2014	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values	2013	Slim Tayachi Fred B. Weissler
+	Singularity formation and blowup of complex-valued solutions of the modified KdV equation	2013	Jerry L. Bona Stéphane Vento Fred B. Weissler
+ PDF	Finite-Time Blowup for a Complex Ginzburg--Landau Equation	2013	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Singularity formation and blowup of complex-valued solutions of the modified KdV equation	2012	Jerry L. Bona Stéphane Vento Fred B. Weissler
+ PDF	Multi-scale multi-profile global solutions of parabolic equations in $\mathbb{R}^N $	2011	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+ PDF	Traveling fronts of a conservation law with hyper-dissipation	2011	Jerry L. Bona Fred B. Weissler
+	Transversality of stable and Nehari manifolds for a semilinear heat equation	2011	Flávio Dickstein Noriko Mizoguchi Philippe Souplet Fred B. Weissler
+ PDF	Spectral properties of stationary solutions of the nonlinear heat equation	2011	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	On the structure of global solutions of the nonlinear heat equation in a ball	2009	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Global existence and blowup for sign-changing solutions of the nonlinear heat equation	2009	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV	2008	Jerry L. Bona Fred B. Weissler
+	Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball	2008	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Nonparabolic Asymptotic Limits of Solutions of the Heat Equation on $${\mathbb{R}}^N$$	2007	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	An equation whose Fujita critical exponent is not given by scaling	2006	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations	2006	Thierry Cazenave Fred B. Weissler
+	A solution of the constant coefficient heat equation on $\Bbb R$ with exceptional asymptotic behavior : an explicit construction.	2006	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Spatial decay and time-asymptotic profiles for solutions of Schrodinger equations	2006	Thierry Cazenave Fred B. Weissler
+	A Solution of the Heat Equation with a Continuum of Decay Rates	2005	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Some remarks on the nonlinear Schrödinger equation in the subcritical case	2005	Thierry Cazenave Fred B. Weissler
+	A solution of the constant coefficient heat equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math> with exceptional asymptotic behavior: An explicit construction	2005	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+ PDF	Chaotic behavior of solutions of the Navier-Stokes system in $\Bbb R^N$	2005	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Chaotic behavior of solutions of the Navier-Stokes system in $\R^N $	2005	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Multiscale Asymptotic Behavior of a Solution of the Heat Equation on $$ \mathbb{R}^N $$	2005	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+ PDF	Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state	2003	Philippe Souplet Fred B. Weissler
+	Universal solutions of the heat equation on $\mathbb R^N$	2003	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	Universal solutions of a nonlinear heat equation on $\mathbb {R}^N$	2003	Thierry Cazenave Flávio Dickstein Fred B. Weissler
+	The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces	2002	Matania Ben‐Artzi Philippe Souplet Fred B. Weissler
+	Asymptotically self-similar global solutions of a general semilinear heat equation	2001	Seifeddine Snoussi Slim Tayachi Fred B. Weissler
+	Linear and nonlinear heat equations in $L^q_\delta$ spaces and universal bounds for global solutions	2001	Марек Фила Philippe Souplet Fred B. Weissler
+	Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations	2001	Jerry L. Bona Fred B. Weissler
+	Self-Similar Solutions of a Nonlinear Heat Equation	2001	Thierry Cazenave Flávio Dickstein Miguel Escobedo Fred B. Weissler
+ PDF	Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation	2001	Fred B. Weissler
+	Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation	2000	Thierry Cazenave Fred B. Weissler
+	Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire	1999	Matania Ben‐Artzi Philippe Souplet Fred B. Weissler
+	Similarity solutions of the generalized Korteweg–de Vries equation	1999	Jerry L. Bona Fred B. Weissler
+ PDF	Poincaré's inequality and global solutions of a nonlinear parabolic equation	1999	Philippe Souplet Fred B. Weissler
+	Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term	1999	Seifeddine Snoussi Slim Tayachi Fred B. Weissler
+	More self-similar solutions of the nonlinear Schrödinger equation	1998	Thierry Cazenave Fred B. Weissler
+	On a family of solutions of the second Painlevé equation related to superconductivity	1998	Bernard Helffer Fred B. Weissler
+	Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations	1998	Thierry Cazenave Fred B. Weissler
+	Self-similar subsolutions and blow-up for nonlinear parabolic equations	1997	Philippe Souplet Fred B. Weissler
+ PDF	Localized Solutions of Sublinear Elliptic Equations: Loitering at the Hilltop	1997	Joseph A. Iaia Henry A. Warchall Fred B. Weissler
+	Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations	1997	Philippe Souplet Fred B. Weissler
+ PDF	Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term	1996	Philippe Souplet Slim Tayachi Fred B. Weissler
+	Some Remarks Concerning Iterative Methods for Linear Systems	1995	Fred B. Weissler
+	Global behavior for some conservative nonlinear equations	1995	Thierry Cazenave Alain Haraux Fred B. Weissler
+ PDF	Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation.	1994	Otared Kavian Fred B. Weissler
+	Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom	1993	Thierry Cazenave Alain Haraux Fred B. Weissler
+	A class of nonlinear, completely integrable abstract wave equations	1993	Thierry Cazenave Alain Haraux Fred B. Weissler
+ PDF	Rapidly decaying solutions of the nonlinear Schrödinger equation	1992	Thierry Cazenave Fred B. Weissler
+	Blow Up in ℝn for a Parabolic Equation with a Damping Nonlinear Gradient Term	1992	Liliane Alfonsi Fred B. Weissler
+ PDF	The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation	1991	Thierry Cazenave Fred B. Weissler
+	Radial solutions of Δu + f(u) = 0 with prescribed numbers of zeros	1990	Kevin McLeod William C. Troy Fred B. Weissler
+	Finite energy self–similar solutions of a nonlinear wave equation	1990	Otared Kavian Fred B. Weissler
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
+ PDF	Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term	1989	Michel Chipot Fred B. Weissler
+ PDF	Nonlinear effects in the wave equation with a cubic restoring force	1989	Thierry Cazenave Alain Haraux Luis Vázquez Fred B. Weissler
+	Some remarks on the nonlinear Schrödinger equation in the critical case	1989	Thierry Cazenave Fred B. Weissler
+	The Cauchy problem for the nonlinear Schrödinger equation in H1	1988	Thierry Cazenave Fred B. Weissler
+	On the Elliptic Problem ∆u - \|∇u\| q + λu p = 0	1988	Michel Chipot Fred B. Weissler
+	Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation	1986	Fred B. Weissler
+	Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations	1986	Fred B. Weissler
+	On the equation $$\Delta u + \tfrac{1}{2}x \cdot \triangledown u + f\left( u \right) = 0$$	1986	L. A. Peletier David Terman Fred B. Weissler
+	𝐿^{𝑝}-energy and blow-up for a semilinear heat equation	1986	Fred B. Weissler
+	An <i>L</i><sup>∞</sup> blow‐up estimate for a nonlinear heat equation	1985	Fred B. Weissler
+	Single point blow-up for a semilinear initial value problem	1984	Fred B. Weissler
+	Single Point Blow-up for a General Semilinear Heat Equation	1984	Carl Mueller Fred B. Weissler
+	Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere	1982	Carl Mueller Fred B. Weissler
+	Existence and non-existence of global solutions for a semilinear heat equation	1981	Fred B. Weissler
+	The Navier-Stokes initial value problem in Lp	1980	Fred B. Weissler
+	Logarithmic Sobolev inequalities and hypercontractive estimates on the circle	1980	Fred B. Weissler
+	Semilinear evolution equations in Banach spaces	1979	Fred B. Weissler
+	Two-point inequalities, the Hermite semigroup and the Gauss-Weierstrass semigroup	1979	Fred B. Weissler
+	Hypercontractive estimates for semigroups	1979	Fred B. Weissler
+	Construction of non-linear semi-groups using product formulas	1978	Fred B. Weissler
+ PDF	Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup	1978	Fred B. Weissler
+ PDF	Logarithmic Sobolev inequalities for the heat-diffusion semigroup	1978	Fred B. Weissler
+	POLYNOMIAL PERTURBATIONS TO THE LAPLACIAN Lp	1978	Fred B. Weissler

Common Coauthors

Coauthor	Papers Together
Thierry Cazenave	38
Flávio Dickstein	24
Slim Tayachi	14
Philippe Souplet	9
Jerry L. Bona	7
Hattab Mouajria	4
Alain Haraux	4
Stéphane Vento	3
Ivan Naumkin	3
Carl Mueller	2
Matania Ben‐Artzi	2
Michel Chipot	2
Otared Kavian	2
Seifeddine Snoussi	2
Henry A. Warchall	1
Byrame Ben Slimene	1
L. A. Peletier	1
David Terman	1
Liliane Alfonsi	1
Miguel Escobedo	1
Luc Molinet	1
Simão Correia	1
Марек Фила	1
Noriko Mizoguchi	1
William C. Troy	1
Luis Vázquez	1
Kevin McLeod	1
Bernard Helffer	1
Joseph A. Iaia	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Semilinear evolution equations in Banach spaces	1979	Fred B. Weissler	15
+	Existence and non-existence of global solutions for a semilinear heat equation	1981	Fred B. Weissler	14
+	Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations	1998	Thierry Cazenave Fred B. Weissler	13
+	Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)	1973	Howard A. Levine	11
+	Universal solutions of the heat equation on $\mathbb R^N$	2003	Thierry Cazenave Flávio Dickstein Fred B. Weissler	10
+	Self-Similar Solutions of a Nonlinear Heat Equation	2001	Thierry Cazenave Flávio Dickstein Miguel Escobedo Fred B. Weissler	10
+	Rapidly decaying solutions of an ordinary differential equation with applications to semilinear elliptic and parabolic partial differential equations	1986	Fred B. Weissler	9
+ PDF	Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term	1989	Michel Chipot Fred B. Weissler	9
+ PDF	Remarks on the large time behaviour of a nonlinear diffusion equation	1987	Otared Kavian	9
+ PDF	Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem	1992	Tzong-Yow Lee Wei‐Ming Ni	9
+	Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation	1986	Fred B. Weissler	8
+	On nonlinear Schrödinger equations	1987	Tosio Kato	8
+	Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States	2007	Pavol Quíttner Philippe Souplet	8
+	Asymptotically self‐similar blow‐up of semilinear heat equations	1985	Yoshikazu Giga Robert V. Kohn	7
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	7
+	Observations on blow up and dead cores for nonlinear parabolic equations	1989	Bernd Kawohl L. A. Peletier	7
+ PDF	The global Cauchy problem for the non linear Schrödinger equation revisited	1985	J. Ginibre G. Velo	6
+	𝐿^{𝑝}-energy and blow-up for a semilinear heat equation	1986	Fred B. Weissler	6
+	Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term	1999	Seifeddine Snoussi Slim Tayachi Fred B. Weissler	6
+	Variational problems related to self-similar solutions of the heat equation	1987	Miguel Escobedo Otared Kavian	6
+	The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values	2013	Slim Tayachi Fred B. Weissler	6
+ PDF	Partial Differential Equations	1988	Shiing-Shen Chern	6
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	6
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo	6
+	Large time behaviour of the solutions of a semilinear parabolic equation in RN	1984	Abdelilah Gmira Лаурент Верон	6
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	6
+ PDF	COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA	2002	Juan Luís Vázquez Enrique Zuazua	6
+	Existence of solutions for Schr�dinger evolution equations	1987	Kenji Yajima	5
+	Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications	1996	Philippe Souplet	5
+ PDF	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	5
+ PDF	Remarks on blow up for a nonlinear parabolic equation with a gradient term	1991	Марек Фила	5
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	5
+	Blow‐up for semilinear parabolic equations with a gradient term	1991	Pavol Quíttner	5
+	Inequalities in Fourier Analysis	1975	William Beckner	5
+	The Cauchy problem for the nonlinear Schrödinger equation in H1	1988	Thierry Cazenave Fred B. Weissler	5
+	Uniqueness of Rapidly Decaying Solutions to the Haraux–Weissler Equation	1996	Eiji Yanagida	5
+	Blowup stability of solutions of the nonlinear heat equation with a large life span	2005	Flávio Dickstein	5
+ PDF	Perturbation Theory for Linear Operators	1995	Tosio Kato	5
+	Nonlinear Parabolic Equations Involving Measures as Initial Conditions	1981	Haı̈m Brezis Avner Friedman	5
+ PDF	Rapidly decaying solutions of the nonlinear Schrödinger equation	1992	Thierry Cazenave Fred B. Weissler	5
+	On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations	1986	Michael I. Weinstein	5
+	Large time behavior of solutions of a dissipative semilnear heat equation	1995	Miguel Escobedo Otared Kavian Hiroshi Matano	5
+	On the equation $$\Delta u + \tfrac{1}{2}x \cdot \triangledown u + f\left( u \right) = 0$$	1986	L. A. Peletier David Terman Fred B. Weissler	5
+ PDF	Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term	1996	Philippe Souplet Slim Tayachi Fred B. Weissler	5
+	Life Span of Solutions of the Cauchy Problem for a Semilinear Heat Equation	1995	C.F. Gui X.F. Wang	5
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	4
+ PDF	On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains	1989	Catherine Bandle Howard A. Levine	4
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	4
+ PDF	Analysis of a Convective Reaction-Diffusion Equation II	1989	Harold Levine L. E. Payne Paul Sacks Brian Straughan	4
+	Blowup and Life Span of Solutions for a Semilinear Parabolic Equation	1998	Noriko Mizoguchi Eiji Yanagida	4