Initial-boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation

被引：0

作者：

L. S. Pul’kina

机构：

[1] Samara State University,

来源：

Differential Equations | 2008年 / 44卷

关键词：

Generalize Solution; Galerkin Method; Space Variable; Hyperbolic Equation; Schwarz Inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a mixed initial-boundary value problem for a multidimensional (with respect to the space variables) hyperbolic equation with a nonlocal boundary condition containing an integral of the desired solution. We prove the unique solvability of the problem in the space W21.

引用

页码：1119 / 1125

页数：6

共 50 条

[1] Initial-Boundary Value Problem with a Nonlocal Boundary Condition for a Multidimensional Hyperbolic Equation
Pul'kina, L. S.
[J]. DIFFERENTIAL EQUATIONS, 2008, 44 (08) : 1119 - 1125
[2] The solution of an initial-boundary value problem of the filtration theory with nonlocal boundary condition
Serbina, Ludmila
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (03): : 488 - 502
[3] The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation
Kakharman, Nurbek
[J]. EXTENDED ABSTRACTS MWCAPDE 2023, 2024, 1 : 145 - 150
[4] Initial-Boundary Value Problem for the Camassa–Holm Equation with Linearizable Boundary Condition
Anne Boutet de Monvel
Dmitry Shepelsky
[J]. Letters in Mathematical Physics, 2011, 96 : 123 - 141
[5] On the Unambiguous Solvability of a Multidimensional Initial-boundary Value Problem for the Beam Oscillation Equation with Nonlocal Boundary Conditions in Sobolev Classes
Sh. G. Kasimov
A. P. Koshanov
[J]. Lobachevskii Journal of Mathematics, 2024, 45 (11) : 5546 - 5558
[6] Initial-Boundary Value Problem for Hyperbolic Equation with Singular Coefficient and Integral Condition of Second Kind
Sabitov K.B.
Zaitseva N.V.
[J]. Lobachevskii Journal of Mathematics, 2018, 39 (9) : 1419 - 1427
[7] First Initial-Boundary Value Problem for B-Hyperbolic Equation
N. V. Zaitseva
[J]. Lobachevskii Journal of Mathematics, 2019, 40 : 240 - 247
[8] The Second Initial-Boundary Value Problem for a B-hyperbolic Equation
Sabitov, K. B.
Zaitseva, N. V.
[J]. RUSSIAN MATHEMATICS, 2019, 63 (10) : 66 - 76
[9] INITIAL-BOUNDARY VALUE PROBLEM FOR THE DEGENERATE HYPERBOLIC EQUATION OF A HANGING STRING
Takayama, Masahiro
[J]. OSAKA JOURNAL OF MATHEMATICS, 2018, 55 (03) : 547 - 565
[10] First Initial-Boundary Value Problem for B-Hyperbolic Equation
Zaitseva, N., V
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (02) : 240 - 247

← 1 2 3 4 5 →