The Gevrey Boundary Value Problems for Mixed Type Equations

被引：0

作者：

Popov, Sergey, V ^{[1
,2
]}

Verkhovtsev, Semen D. ^{[1
]}

机构：

[1] North Eastern Fed Univ, 58 Belinskogo Stn, Yakutsk 677000, Russia

[2] Acad Sci Republ Sakha, 33 Lenin Ave, Yakutsk 677007, Russia

来源：

9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING: DEDICATED TO THE 75TH ANNIVERSARY OF PROFESSOR V.N. VRAGOV | 2021年 / 2328卷

关键词：

D O I：

10.1063/5.0042792

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Gevrey boundary value problems are studied for mixed type equations. We rely on the theory of integral equations with the Cauchy kernel. As is known, the Holder classes of solutions to forward-backward parabolic equations essentially depend on gluing conditions and a noninteger Holder exponent of the space. The unique solvability of the Gevrey boundary value problems for equations of the second and third orders is proven.

引用

页数：4

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