Continuity of the temperature in a multi-phase transition problem

被引：2

作者：

Gianazza, Ugo ^{[1
]}

Liao, Naian ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Salzburg, Fachbereich Math, Hellbrunner Str 34, A-5020 Salzburg, Austria

来源：

MATHEMATISCHE ANNALEN | 2022年 / 384卷 / 1-2期

关键词：

WEAK SOLUTIONS; REGULARITY; BEHAVIOR; MODULUS;

D O I：

10.1007/s00208-021-02255-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the p-Laplacian type diffusion is also considered.

引用

页码：211 / 245

页数：35

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