On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition
type: Item
instance of: scholarly article
title: On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition
zbMATH Open document ID: 0874.35051
author: Bei Hu
author: Hong-Ming Yin
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-10-22T00:00:00Z
review text: The heat equation in an unbounded domain is considered. On a part of the boundary, a nonlinear Neumann boundary condition is imposed and on another part, the homogeneous Dirichlet boundary condition holds. Critical exponents for the existence of global positive solutions are found for a sectorial domain in the plane and for an \(n\)-dimensional orthant domain.
reviewed by: Marek Fila
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1031629
zbMATH Keywords: unbounded domain
zbMATH Keywords: nonlinear Neumann boundary condition
zbMATH Keywords: blow-up
zbMATH Keywords: homogeneous Dirichlet boundary condition
zbMATH Keywords: global positive solutions
Wikidata QID: Q116009586
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5397
OpenAlex ID: W2040629333
cites work: On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
cites work: Q4764290
cites work: Q3480543
cites work: Q4880668
cites work: On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
cites work: The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
cites work: On critical exponents for the heat equation with a nonlinear boundary condition
cites work: Q4893657
cites work: Q5562267
cites work: The Role of Critical Exponents in Blowup Theorems
cites work: The value of the critical exponent for reaction-diffusion equations in cones
cites work: Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
cites work: On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
cites work: Existence and non-existence of global solutions for a semilinear heat equation
DOI: 10.1006/JMAA.1997.5397
description: scientific article; zbMATH DE number 1031629