On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

被引：4

作者：

Dzhamalov, S. Z. ^{[1
]}

Ashurov, R. R. ^{[1
]}

Ruziev, U. Sh ^{[1
]}

机构：

[1] Uzbek Acad Sci, Inst Math, Tashkent 100170, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 03期

关键词：

multidimensional loaded mixed type equation of the second kind; second order; seminonlocal boundary value problem; correctness of a problem; epsilon-regularizations" method; a priori estimate; successive approximation; LINEAR INVERSE PROBLEM; SOLVABILITY;

D O I：

10.1134/S1995080221030094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space W 3/2 (Q). In proof of the theorems are used the methods of "epsilon-regularizations", a priori estimate and successive approximations.

引用

页码：536 / 543

页数：8

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