Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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∖ ∪ mℳm. We use this problem to demonstrate the method of combined estimates and derive the asymptotics of solutions near the edges.
Original language | English |
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Title of host publication | Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains |
Publisher | Springer Nature |
Pages | 13-73 |
Number of pages | 61 |
DOIs | |
State | Published - 2021 |
Name | Operator Theory: Advances and Applications |
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Volume | 284 |
ISSN (Print) | 0255-0156 |
ISSN (Electronic) | 2296-4878 |
ID: 77222201