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

  • Anass Lamaizi University Mohammed Premier
  • Abdellah Zerouali
  • Omar Chakrone
  • Belhadj Karim
DOI: https://doi.org/10.19139/soic-2310-5070-1701
Keywords: Parabolic problem; Dynamic boundary condition; Global existence; Blow-up

Abstract

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.

References

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Published
2023-01-09
How to Cite
Lamaizi, A., Zerouali, A., Chakrone, O., & Karim, B. (2023). Existence and blow up of solutions for a class of parabolic problems with dynamical boundary condition. Statistics, Optimization & Information Computing, 11(1), 44-54. https://doi.org/10.19139/soic-2310-5070-1701
Issue
Vol 11 No 1 (2023): SI-ICNTAM22
Section
Research Articles
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