- Mathematical works
- Archive
- 2024
- № 3
- Issue # 3
On a boundary value problem in a cylinder for a sixth-order pseudohyperbolic equation
Bondar Lina Nikolaevna
Scopus Author ID: 22633505200
1. Novosibirsk State University, Novosibirsk, Russia
l.bondar@g.nsu.ru
<h3> Bondar Lina Nikolaevna </h3>
<ol>
<li> Novosibirsk State University, Novosibirsk, Russian Federation </li>
<li> <a href="l.bondar@g.nsu.ru">l.bondar@g.nsu.ru</a></li>
<\ol>
<h3> Ma Xin </h3>
<ol>
<li> Novosibirsk State University, Novosibirsk, Russian Federation </li>
<li> <a href="s.ma2@g.nsu.ru">s.ma2@g.nsu.ru</a></li>
<\ol>
The material was received by the Editorial Board: 30.07.2024
The paper considers the first boundary value problem in a cylinder for one sixth-order equation not resolved with respect to the highest derivative. Equation under study is a strictly pseudohyperbolic with lower terms. In this work, the existence and uniqueness of a generalized solution to a boundary value problem in an anisotropic Sobolev space is proved, and estimates for the solution are obtained.
УДК 517.95
Keywords: pseudohyperbolic equation, boundary value problem, generalized solution, anisotropic Sobolev space, generalized Boussinesq equation.
References: Bondar L. N., Ma X. On a boundary value problem in a cylinder for a sixth-order pseudohyperbolic equation. Mat. Trudy. 2024, 27, №3. P. 30–51. DOI: 10.25205/1560-750X-2024-27-3-30-51