The Global existence and blow-up of solutions for a class of Steklov parabolic problems

Author:

Lamaizi AnassORCID,Zerouali Abdellah,Chakrone Omar,Belhadj Karim

Abstract

In this paper, we study weak solutions to the following Steklov parabolic problem: We prove theorems of existence of weak solutions, via Galerkin approximation. Moreover, we show the existence of solutions which blow up in a finite time.

Publisher

Sociedade Paranaense de Matemática

Reference16 articles.

1. J. Arrieta, A.N. Carvalho, A. R. Bernal., Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds, Comm. Partial Differential Equations, 25, 1–37, (2000).

2. I. Babuska, J.E. Osborn., Hand-Book of Numerical Analysis, Finite Element Method, North-Holland, Amsterdam.2, 641-787, (1991)

3. I. Bejenaru, J.I. Diaz, I. Vrabie., An abstract approximate controllability result and applications to elliptic and parabolic system with dynamics boundary conditions. Electron. J. Differential Equations, 50, 1–19, (2001).

4. J. v. Below, M. Cuesta, G. P. Mailly., Qualitative results for parabolic equations involving the p-Laplacian under dynamical boundary conditions. NWEJM, 4, 59-97, (2018).

5. S. Bergman, M. Schiffer., Kernel Functions and Elliptic Differential Equations in Mathematical Physics. Academic Press, (1953).

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