DOI

In this chapter, the wave equation is considered, at all times t∈ ℝ, in a domain G⊂ ℝn. The boundary ∂G contains finitely many smooth edges ℳm of various dimensions 0 ≤ dim ℳm≤ n− 2 ; outside of the union of edges, the boundary is smooth. The Dirichlet or Neumann conditions are given on ∂G∖ ∪ mm. We use this problem to demonstrate the method of combined estimates and derive the asymptotics of solutions near the edges.

Язык оригиналаанглийский
Название основной публикацииAsymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains
ИздательSpringer Nature
Страницы13-73
Число страниц61
DOI
СостояниеОпубликовано - 2021

Серия публикаций

НазваниеOperator Theory: Advances and Applications
Том284
ISSN (печатное издание)0255-0156
ISSN (электронное издание)2296-4878

    Предметные области Scopus

  • Анализ

ID: 77222201