一类具有动态边界条件的抛物型问题解的存在性和爆破性

Statistics, Optimization & Information Computing Pub Date : 2023-01-09 DOI:10.19139/soic-2310-5070-1701

Anass Lamaizi, A. Zerouali, O. Chakrone, B. Karim

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摘要

本文研究了一类具有动态边界条件的抛物型问题的弱解。建立了相应动力学问题弱解的存在性。此外，我们将证明当初始能量满足一定条件时，解的存在时间T是有限的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Statistics, Optimization & Information Computing

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