Asymptotics of Solutions to Wave Equation in Singularly Perturbed Domains

DOI

https://doi.org/10.1007/978-3-030-65372-9_7
Final published version

Dmitrii Korikov
Boris Plamenevskii
Oleg Sarafanov

In this chapter, the Dirichlet problem for the wave equation is studied in a domain in ℝ³ with a cavity of small diameter ε. We also discuss the wave equation in a domain with the boundary smoothed in a small neighbourhood of a conical point.

Original language	English
Title of host publication	Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
Publisher	Springer Nature
Pages	295-327
Number of pages	33
ISBN (Electronic)	978-3-030-65372-9
ISBN (Print)	978-3-030-65371-2, 978-3-030-65374-3
DOIs	https://doi.org/10.1007/978-3-030-65372-9_7
State	Published - 2021

Publication series

Name	Operator Theory: Advances and Applications
Volume	284

Scopus subject areas

Analysis

ID: 77222532