On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions
Abstract
We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Hölder spaces to quasilinear one-dimensional parabolic problems with dynamical boundary conditions.
- Publication:
-
Journal of Differential Equations
- Pub Date:
- December 2015
- DOI:
- 10.1016/j.jde.2015.08.010
- arXiv:
- arXiv:1505.00112
- Bibcode:
- 2015JDE...259.7060G
- Keywords:
-
- Dynamical boundary conditions;
- Global solutions;
- Bernstein-Nagumo condition;
- Doubling of variables;
- Mathematics - Analysis of PDEs