Boundary Value Problems for One Pseudohyperbolic Equation in a Quarter-Plane

Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI:10.1134/s1055134422010023

L. N. Bondar’, G. V. Demidenko

引用次数: 1

Abstract

We consider mixed boundary value problems for one pseudohyperbolic equation in a quarter plane. We assume that the boundary value problems satisfy the Lopatinskiĭ condition. We prove theorems on unique solvability in anisotropic Sobolev spaces with exponential weight and establish some estimates for the solutions.

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四分之一平面上一类伪双曲方程的边值问题

研究四分之一平面上一类伪双曲型方程的混合边值问题。我们假设边值问题满足Lopatinskiĭcondition。证明了具有指数权的各向异性Sobolev空间的唯一可解性定理，并给出了解的一些估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.