On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation

被引：0

作者：

S. I. Pokhozhaev

机构：

[1] Steklov Mathematical Institute,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Global Solution; Vries Equation; Nonlocal Boundary Condition; General Assertion; Nonhomogeneous Boundary;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the problem of finite-time blow-up of solutions of a class of initial-boundary value problems for the Korteweg-de Vries equation. By using the method of optimal test functions corresponding to the boundary conditions, we obtain blow-up conditions for local (with respect to t > 0) solutions and estimate the blow-up time.

引用

页码：488 / 493

页数：5

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