The existence of solutions for parabolic problem with the limiting case of double phase flux

被引：1

作者：

Yuan, Wen-Shuo ^{[1
]}

Ge, Bin ^{[1
]}

Cao, Qing-Hai ^{[1
]}

Zhang, Yu ^{[1
]}

机构：

[1] Harbin Engn Univ, Sch Math Sci, Harbin 150001, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 06期

关键词：

Double-phase problem; Global existence; Parabolic equations; Functions of bounded variation; Galerkin methods; Musielak-Orlicz Sobolev spaces; ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; FUNCTIONALS; REGULARITY; MINIMIZERS; GROWTH;

D O I：

10.1007/s00033-023-02109-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we are concerned with the existence result to a class of nonlinear parabolic equations driven by the so-called double phase operator in the limiting case with initial boundary value. Under the framework of Musielak-Orlicz Sobolev spaces, we established energy estimates. And by passing the limit of a sequence of solutions of double-phase problems whose highest exponent approximates 1, we obtain that the desired result is a bounded variation solution.

引用

页数：17

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