The second initial-boundary value problem with integral displacement for second-order hyperbolic and parabolic equations

被引：5

作者：

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

Dyuzheva, A., V ^{[2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Lab Differential & Difference Equations, 4 Acad Koptyug Pr, Novosibirsk 630090, Russia

[2] Samara State Tech Univ, Dept Higher Math, 244 Molodogvardeyskaya St, Samara 443100, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2021年 / 25卷 / 03期

关键词：

hyperbolic equations; parabolic equations; integral boundary conditions; nonlocal problems; integral conditions; regular solutions; uniqueness; existence; SOLVABILITY; FORM;

D O I：

10.14498/vsgtu1859

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the solvability of some non-local analogs of the second initial-boundary value problem for multidimensional hyperbolic and parabolic equations of the second order. We prove the existence and uniqueness theorems of regular solutions (which have all Sobolev generalized derivatives that are summable with a square and are included in the equation). Some generalization and amplification of the obtained results are also given.

引用

页码：423 / 434

页数：12

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