具有非线性记忆的半线性分数阶σ-演化方程

IF 0.3 4区数学 Q4 MATHEMATICS, APPLIED

Journal of Partial Differential Equations Pub Date : 2020-06-01 DOI:10.4208/jpde.v33.n4.1

A. K. Mezadek

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引用次数: 0

摘要

．本文研究了一类具有非线性记忆的半线性分数阶σ−演化方程的小数据解的局部或全局(时间上)存在性。我们的主要目标是一方面解释记忆项的影响，另一方面解释数据的高规律性对解的定性性质的影响。

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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Semi-Linear Fractional σ-Evolution Equations with Nonlinear Memory

. In this paper we study the local or global (in time) existence of small data solutions to semi-linear fractional σ − evolution equations with nonlinear memory. Our main goals is to explain on the one hand the inﬂuence of the memory term and on the other hand the inﬂuence of higher regularity of the data on qualitative properties of solutions.

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来源期刊

Journal of Partial Differential Equations MATHEMATICS, APPLIED-

自引率

33.30%

发文量

551