CLASSICAL SOLUTIONS TO QUASILINEAR PARABOLIC PROBLEMS WITH DYNAMIC BOUNDARY CONDITIONS

被引：1

作者：

Guidetti, Davide ^{[1
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 03期

关键词：

Nonlinear mixed parabolic systems; nonlinear boundary conditions; dynamic boundary conditions; Holder continuous functions; EQUATIONS;

D O I：

10.3934/dcdss.2016024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary conditions.

引用

页码：717 / 736

页数：20

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