NONLOCAL SOLVABILITY CONDITIONS FOR CAUCHY PROBLEM FOR A SYSTEM OF FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH SPECIAL RIGHT-HAND SIDES

被引：10

作者：

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

机构：

[1] Minin Nizhny Novgorod State Pedag Univ, Ulyanova Str 1, Nizhnii Novgorod 603950, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2014年 / 6卷 / 04期

关键词：

first order partial differential equations; Cauchy problem; the method of an additional argument;

D O I：

10.13108/2014-6-4-68

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a Cauchy problem for a system of two quasilinear first order partial differential equations with special right-hand sides. We obtain the conditions of a nonlocal solvability of this Cauchy problem. The study of the nonlocal solvability of the Cauchy problem for a system of two quasilinear differential equations with special right-hand sides is based on the method of an additional argument. The proof of the nonlocal solvability of the Cauchy problem for a system of two quasilinear first order partial differential equations with special right-hand sides relies on global estimates.

引用

页码：68 / 80

页数：13

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