Continuous Dependence Results for Parabolic Problems Under Robin Boundary Conditions

DOI10.1080/01630560902735249zbMath1171.35318OpenAlexW2166213018MaRDI QIDQ3615538

Monica Marras, Stella Vernier Piro

Publication date: 20 March 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560902735249

zbMATH Keywords

nonlinear parabolic equationdependence on initial datacontinuous dependence inequality

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) 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 (1)

A variational approach to the problem of continuous dependence of solutions to second order periodic system

Cites Work

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• Exponential decay bounds for nonlinear heat problems with Robin boundary conditions
• Maximum principles and their applications
• Continuous dependence inequalities for a class of quasilinear parabolic problems
• Continuous dependence results for a class of nonlinear heat equations in a cylindrical region
• DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES
• Continuous dependence on the geometry and on the initial time for a class of parabolic problems I
• Continuous dependence on the geometry and on the initial time for a class of parabolic problems II
• Blow up, decay bounds and continuous dependence inequalities for a class of quasilinear parabolic problems
• A strong maximum principle for parabolic equations

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