Search Results - "Weissler Fred B."

Standing waves of the complex Ginzburg–Landau equation by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…We prove the existence of nontrivial standing wave solutions of the complex Ginzburg–Landau equation ϕt=eiθΔϕ+eiγ|ϕ|αϕ+kϕ on a bounded domain with Dirichlet…”
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Well-posedness, global existence and large time behavior for Hardy–Hénon parabolic equations by Ben Slimene, Byrame, Tayachi, Slim, Weissler, Fred B.

“…In this paper we study the nonlinear parabolic equation ∂tu=Δu+a|x|−γ|u|αu,t>0,x∈RN∖{0},N≥1,a∈R,α>0,0<γ<min(2,N) and with initial value u(0)=φ. We establish…”
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The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces by Ben-Artzi, Matania, Souplet, Philippe, Weissler, Fred B.

“…We consider viscous Hamilton–Jacobi equations of the form (VHJ) u t−Δu=a|∇u| p, x∈ R N, t>0, u(x,0)=u 0(x), x∈ R N, where a∈ R , a≠0 and p⩾1. We provide an…”
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The nonlinear heat equation involving highly singular initial values and new blowup and life span results by Tayachi, Slim, Weissler, Fred B.

“…In this paper we prove local existence of solutions to the nonlinear heat equation u t = Δ u + a | u | α u , t ∈ ( 0 , T ) , x = ( x 1 , … , x N ) ∈ R N , a =…”
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Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values by Mouajria Hattab, Tayachi Slim, Weissler Fred B.

“…In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption,…”
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Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations by Souplet, Philippe, Weissler, Fred B

“…For a wide class of nonlinear parabolic equations of the formut−Δu=F(u,∇u), we prove the nonexistence of global solutions for large initial data. We also…”
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An equation whose Fujita critical exponent is not given by scaling by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we prove sharp blow up and global existence results for a heat equation with nonlinear memory. It turns out that the Fujita critical exponent is…”
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The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values by TAYACHI, SLIM, WEISSLER, FRED B.

“…<< As an application, we prove the existence of initial values u_0 = \lambda f0 --> \lambda ]]>> (Ghoul (2011), (2012)).]]>…”
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Rapidly decaying solutions of the nonlinear Schrödinger equation by CAZENAVE, T, WEISSLER, F. B

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A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation by Cazenave, Thierry, Correia, Simão, Dickstein, Flávio, Weissler, Fred B.

“…In this paper we consider the nonlinear Schrödinger equation i u t + Δ u + κ | u | α u = 0 . We prove that if α < 2 N and I κ < 0 , then every nontrivial H 1…”
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Global existence and blowup for sign-changing solutions of the nonlinear heat equation by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, given 0 < α < 2 / N , we prove the existence of a function ψ with the following properties. The solution of the equation u t − Δ u = | u | α u…”
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On the structure of global solutions of the nonlinear heat equation in a ball by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we consider the nonlinear heat equation (NLH) u t − Δ u = | u | α u , in the unit ball Ω of R N with Dirichlet boundary conditions, in the…”
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New life-span results for the nonlinear heat equation by Tayachi, Slim, Weissler, Fred B.

“…We obtain new estimates for the existence time of the maximal solutions to the nonlinear heat equation ∂tu−Δu=|u|αu,α>0 with initial values in Lebesgue,…”
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SPECTRAL PROPERTIES OF STATIONARY SOLUTIONS OF THE NONLINEAR HEAT EQUATION by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we prove that if Ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equation (NLH) ut – Δu = |u|αu, in the unit…”
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Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations by Cazenave, Thierry, Weissler, Fred B.

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Spatial decay and time-asymptotic profiles for solutions of Schroedinger equations by Cazenave, Thierry, Weissler, Fred B.

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Nonparabolic Asymptotic Limits of Solutions of the Heat Equation on $${\mathbb{R}}^N by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

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A solution of the constant coefficient heat equation on R with exceptional asymptotic behavior: An explicit construction by Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.

“…In this paper, we construct a solution of the one-dimensional heat equation on R which has the following properties: Given any 0 < μ < 1 , there exists a…”
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Spatial Decay and Time-asymptotic Profiles for Solutions of Schrödinger Equations by Cazenave, Thierry, Weissler, Fred B.

“…In this paper, we study the relationship between the long time behavior of a solution eitΔφ of the Schrödinger equation on ℝN and the asymptotic behavior as…”
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Asymptotically self-similar global solutions of a general semilinear heat equation by Snoussi, Seifeddine, Tayachi, Slim, Weissler, Fred B.

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