Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source
type: Item
instance of: scholarly article
title: Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source
author: Quoc Hung Phan
published in: Journal of Dynamics and Differential Equations
publication date: 2017-11-08T00:00:00Z
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6803810
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: Liouville-type theorem
zbMATH Keywords: blow-up
MaRDI profile type: Publication
full work available at URL: s10884-015-9489-z
OpenAlex ID: W1651746536
Wikidata QID: Q115383501
cites work: Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source
cites work: Universal bounds at the blow-up time for nonlinear parabolic equations
cites work: Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
cites work: Q4219069
cites work: Local behaviour of the solutions of a class of nonlinear elliptic systems
cites work: Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
cites work: On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem
cites work: Singularities of positive supersolutions in elliptic PDEs
cites work: On similarity solutions of a heat equation with a nonhomogeneous nonlinearity
cites work: Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
cites work: Global and local behavior of positive solutions of nonlinear elliptic equations
cites work: A priori bounds for positive solutions of nonlinear elliptic equations
cites work: A bound for global solutions of semilinear heat equations
cites work: Asymptotically self‐similar blow‐up of semilinear heat equations
cites work: Q3736159
cites work: Blow up rate for semilinear heat equations with subcritical nonlinearity
cites work: Q3086834
cites work: Blowing up at zero points of potential for an initial boundary value problem
cites work: Q4309339
cites work: Existence of global solutions for a semilinear parabolic Cauchy problem.
cites work: Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
cites work: On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem
cites work: Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
cites work: On Nonexistence of type II blowup for a supercritical nonlinear heat equation
cites work: Classification of type I and type II behaviors for a supercritical nonlinear heat equation
cites work: Unfocused blow up solutions of semilinear parabolic equations
cites work: A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian
cites work: Rate of type II blowup for a semilinear heat equation
cites work: Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations
cites work: Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
cites work: Blow-up results for a class of first-order nonlinear evolution inequalities
cites work: Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
cites work: A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation
cites work: Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
cites work: Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
cites work: The critical exponents of parabolic equations and blow-up inRn
cites work: Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure
cites work: Q3438091
cites work: Parabolic Liouville-type theorems via their elliptic counterparts
cites work: Type II blow-up for the four dimensional energy critical semi linear heat equation
cites work: Existence and nonexistence of global solutions of quasilinear parabolic equations.
cites work: On the Cauchy Problem for Reaction-Diffusion Equations
cites work: The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems
DOI: 10.1007/S10884-015-9489-Z
description: scientific article; zbMATH DE number 6803810