Existence and blow up of solutions for a class of parabolic problems with dynamical boundary condition

Statistics, Optimization and Information Computing

article

Anass Lamaizi¹  Abdellah Zerouali²  Omar Chakrone³  Belhadj Karim⁴ 

[1] University Mohammed Premier;Regional Centre of Trades Education and Training;Mohammed I University, FSO, Dept. of Mathematics, LaMAO Laboratory;Sciences And Technologies Faculty

关键词: Parabolic problem;    Dynamic boundary condition;    Global existence;    Blow-up;   

DOI  :  10.19139/soic-2310-5070-1701

来源: Istituto Superiore di Sanita

【 摘 要 】

In this paper, we study weak solutions for a class of parabolic problems with dynamical boundary condition.We establish the existence of a weak solution to the corresponding Dynamical problem. Moreover, we will show that the existence time T of solution is finite when the initial energy satisfies certain condition.

【 授权许可】

Unknown