Initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory

MaRDI QIDQ6669701

Alexander Gladkov

Publication date: 22 January 2025

Published in: Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika (Search for Journal in Brave)

zbMATH Keywords

nonlinear parabolic equationcomparison principleexistence of solutionnonlocal boundary condition

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blowup for a degenerate and singular parabolic equation with nonlocal source and nonlocal boundary
• Blow-up for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary
• Global solvability for the porous medium equation with boundary flux governed by nonlinear memory
• Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition
• Blow-up theories for semilinear parabolic equations
• Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition
• On the short-time behaviour of the free boundary of a porous medium equation
• On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions
• Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
• Blow-up phenomenon for a reaction-diffusion equation with weighted nonlocal gradient absorption terms
• Global existence and blow-up properties of solutions for porous medium equation with nonlinear memory and weighted nonlocal boundary condition
• Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition
• Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition
• Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition
• PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL REACTION-DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION
• On the asymptotic behavior of solutions of parabolic equations
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Comparison principle for some nonlocal problems
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Semilinear heat equation with absorption and a nonlocal boundary condition
• Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
• Global existence of solutions of a semilinear heat equation with nonlinear memory condition
• Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux

This page was built for publication: Initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory