On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions

被引：2

作者：

Gvelesiani, Simon ^{[1
]}

Lippoth, Friedrich ^{[1
]}

Walker, Christoph ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 12期

关键词：

Dynamical boundary conditions; Global solutions; Bernstein-Nagumo condition; Doubling of variables; EQUATIONS; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.jde.2015.08.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide sufficient and almost optimal conditions for global existence of classical solutions in parabolic Holder spaces to quasilinear one-dimensional parabolic problems with dynamical boundary conditions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：7060 / 7085

页数：26

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