Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data

被引：2

作者：

Pokhozhaev, S. I. ^{[1
]}

机构：

[1] RAS, VA Steklov Math Inst, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2009年 / 200卷 / 7-8期

基金：

俄罗斯基础研究基金会;

关键词：

non-linear equations; a priori estimate; global solvability; the Kuramoto-Sivashinsky equation; PROPAGATION; WAVES;

D O I：

10.1070/SM2009v200n07ABEH004028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers initial-boundary-value problems for the Kuramoto-Sivashinsky equation both with Dirichlet boundary conditions and with Navier-type boundary conditions when t > 0 and x is an element of Omega subset of R-N, N <= 3. Given bounded initial data, the problems in question are shown to be uniquely globally (in t > 0) solvable in relevant classes of functions.

引用

页码：1075 / 1088

页数：14

共 21 条

[1] Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations [J].