QUASILINEAR HYPERBOLIC STEFAN PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS

被引：0

作者：

Andrusyak, R. V. ^{[1
]}

Burdeina, N. O. ^{[1
]}

Kyrylych, V. M. ^{[1
]}

机构：

[1] Franko Lviv Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 09期

关键词：

SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the method of contracting mappings, we prove, for small values of time, the existence and uniqueness of a generalized Lipschitz solution of a mixed problem with unknown boundaries for a hyperbolic quasilinear system of first-order equations represented in terms of Riemann invariants with nonlocal (non-separated and integral) boundary conditions.

引用

页码：1367 / 1396

页数：30

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