Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition

Author:

Fila Marek1,Ishige Kazuhiro2,Kawakami Tatsuki3,Lankeit Johannes1

Affiliation:

1. Department of Applied Mathematics and Statistics, Comenius University, 84248 Bratislava, Slovakia. E-mails: fila@fmph.uniba.sk, jlankeit@math.upb.de

2. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan. E-mail: ishige@ms.u-tokyo.ac.jp

3. Department of Applied Mathematics and Informatics, Ryukoku University, Seta Otsu 520-2194, Japan. E-mail: kawakami@math.ryukoku.ac.jp

Publisher

IOS Press

Subject

General Mathematics

Reference35 articles.

1. Parabolic problems with nonlinear dynamical boundary conditions and singular initial data;Arrieta;Differential Integral Equations.,2001

2. Parabolic problems with dynamical boundary conditions: Eigenvalue expansions and blow up;Bandle;Atti Accad Naz Lincei Rend Lincei Mat Appl.,2006

3. Nonlinear elliptic systems with dynamic boundary conditions;Escher;Math Z.,1992

4. Quasilinear parabolic systems with dynamical boundary conditions;Escher;Comm Partial Differential Equations.,1993

5. On the qualitative behaviour of some semilinear parabolic problems;Escher;Differential Integral Equations.,1995

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