关于变量演化p（.）-Bilaplace方程的解

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-28 DOI:10.5269/bspm.62640

A. Chaoui, Manal Djaghout

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引用次数: 0

摘要

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。

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

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 .

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks