Asymptotics for a parabolic equation with critical exponential nonlinearity
type: Item
instance of: scholarly article
title: Asymptotics for a parabolic equation with critical exponential nonlinearity
zbMATH Open document ID: 1470.35077
author: Michinori Ishiwata
author: F. Sani
author: E. Terraneo
author: Bernhard Ruf
published in: Journal of Evolution Equations
publication date: 2021-08-10T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 7380230
zbMATH Keywords: Trudinger-Moser embedding
zbMATH Keywords: dichotomy between finite time blow-up and global existence
zbMATH Keywords: potential well argument
Wikidata QID: Q115609424
MaRDI profile type: Publication
full work available at URL: s00028-020-00649-z
OpenAlex ID: W3109288265
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: A nonlinear heat equation with singular initial data
cites work: Q4217277
cites work: Solutions globales d'equations de la chaleur semi lineaires.
cites work: Convergence to steady states of solutions of non-autonomous heat equations in \(\mathbb R^N\)
cites work: Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions
cites work: The problem of uniqueness of the limit in a semilinear heat equation
cites work: Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity
cites work: The long-time behaviour of solutions to parabolic problems on unbounded intervals: the influence of boundary conditions
cites work: Convergence to a ground state as a threshold phenomenon in nonlinear parabolic equations
cites work: Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
cites work: Local well posedness of a 2D semilinear heat equation
cites work: Trudinger-Moser inequality on the whole plane with the exact growth condition
cites work: Scattering threshold for the focusing nonlinear Klein-Gordon equation
cites work: Semilinear parabolic equation in \(R^N\) associated with critical Sobolev exponent
cites work: Stable and unstable sets for evolution of parabolic and hyperbolic type
cites work: Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions
cites work: Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
cites work: Asymptotic stability and blowing up of solutions of some nonlinear equations
cites work: Existence of a stable set for some nonlinear parabolic equation involving critical Sobolev exponent
cites work: Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent
cites work: A Potential Well Argument for a Semilinear Parabolic Equation with Exponential Nonlinearity
cites work: Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Analysis.
cites work: Asymptotic behavior of some nonlinear heat equations
cites work: Q4743193
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Q3438091
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth
cites work: A note on the inhomogeneous nonlinear heat equation in two space dimensions
cites work: On global solution of nonlinear hyperbolic equations
cites work: Type II blow-up for the four dimensional energy critical semi linear heat equation
cites work: Existence of solitary waves in higher dimensions
cites work: Seminlinear parabolic equation on bounded domain with critical Sobolev exponent
cites work: Q5182003
DOI: 10.1007/S00028-020-00649-Z
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description: scientific article; zbMATH DE number 7380230