非局部双非线性抛物方程的体积约束问题

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2023-01-01 DOI:10.3934/mine.2023098

Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura

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引用次数: 0

摘要

< >& gt;& gt;我们考虑非局部双非线性抛物方程的体积约束问题，称为非局部$ p $-Sobolev流，并引入非线性内禀标度，将原型非局部双非线性抛物方程转化为非局部$ p $-Sobolev流。本文是在Giuseppe Mingione 50岁生日之际献给他的，他是偏微分方程正则性理论的大师。</abstract>

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A volume constraint problem for the nonlocal doubly nonlinear parabolic equation

We consider a volume constraint problem for the nonlocal doubly nonlinear parabolic equation, called the nonlocal $ p $-Sobolev flow, and introduce a nonlinear intrinsic scaling, converting a prototype nonlocal doubly nonlinear parabolic equation into the nonlocal $ p $-Sobolev flow. This paper is dedicated to Giuseppe Mingione on the occasion of his 50th birthday, who is a maestro in the regularity theory of PDEs.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks