对数非线性p-双调和抛物型方程解的全局存在性和衰减性

Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI:10.30538/psrp-oma2022.0104

Tuğrul Cömert, E. Pişkin

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引用次数: 0

摘要

本文研究了一类具有对数非线性的p-双调和抛物型方程的初边值问题。利用势阱方法和对数Sobolev不等式，我们得到了唯一全局弱解的存在性。此外，我们还得到了解的衰变多项式。

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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Global existence and decay of solutions for p-biharmonic parabolic equation with logarithmic nonlinearity

In this paper, we study the initial boundary value problem for a p-biharmonic parabolic equation with logarithmic nonlinearity. By using the potential wells method and logarithmic Sobolev inequality, we obtain the existence of the unique global weak solution. In addition, we also obtain decay polynomially of solutions.

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来源期刊

Open Journal of Mathematical Analysis

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0.00%

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审稿时长

8 weeks