Nonlocal Problems with Generalized Samarskii-Ionkin Condition for Some Classes of Nonstationary Differential Equations

被引：2

作者：

Kozhanov, A. I. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk, Russia

来源：

DOKLADY MATHEMATICS | 2023年 / 107卷 / 01期

关键词：

parabolic equations; Sobolev type equations; nonlocal problems; generalized Samarskii-Ionkin condition; regular solutions; existence; uniqueness;

D O I：

10.1134/S106456242370045X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solvability of spatially nonlocal boundary value problems for one-dimensional parabolic equations, as well as for some equations of the Sobolev type, is studied. We prove theorems on the existence and uniqueness of regular solutions, namely, solutions having all Sobolev generalized derivatives involved in the corresponding equation.

引用

页码：40 / 43

页数：4

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