On the solution of evolution p(.)-Bilaplace equation with variable

IF 0.4 Q4 MATHEMATICS
A. Chaoui, Manal Djaghout
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引用次数: 0

Abstract

A high-order parabolic p(.)-Bilaplace equation with variable exponent is studied. The well-posedness at each time step of the problem in suitable Lebesgue Sobolev spaces with variable exponent with the help of nonlinear monotone operators theory is investigated. The solvability of the proposed problem as well as some regulrarity results are shown using Roth-Galerkin method .
关于变量演化p(.)-Bilaplace方程的解
研究了一类高阶变指数抛物型p(.)-Bilaplace方程。利用非线性单调算子理论,研究了在适当的变指数Lebesgue-Sobolev空间中,问题在每个时间步长的适定性。用Roth-Galerkin方法证明了该问题的可解性以及一些正则性结果。
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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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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