Continuous dependence on the geometry and on the initial time for a class of parabolic problems I

DOI10.1002/MMA.877zbMath1133.35010OpenAlexW2000887928MaRDI QIDQ5433212

No author found.

Publication date: 8 January 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.877

zbMATH Keywords

initial-boundary value problemnonlinear heat equationsemilinear equationscontinuous dependence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (5)

On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions ⋮ Properties of solutions to porous medium problems with different sources and boundary conditions ⋮ On extending some maximum principles to convex domains with nonsmooth boundaries ⋮ Continuous dependence results for a class of nonlinear heat equations in a cylindrical region ⋮ Continuous Dependence Results for Parabolic Problems Under Robin Boundary Conditions

Cites Work

• Remarks on the maximum principle for parabolic equations and its applications

This page was built for publication: Continuous dependence on the geometry and on the initial time for a class of parabolic problems I