Solution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulus
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press inc Elsevier Science
Abstract
Here we study Dirichlet and Neumann problems for a special Helmholtz equation on an annulus. Our main aim is to measure smoothness of solutions for the boundary datum in Besov spaces. We shall use operator theory to solve this problem. The most important advantage of this technique is that it enables to consider equations in vector-valued settings. It is interesting to note that optimal regularity of this problem will be a special case of our main result. (C) 2010 Elsevier Inc. All rights reserved.
Description
Keywords
Modified Helmholtz equation, Differential-operator equations, Boundary value problems, Interpolation of Banach spaces, Semigroup estimates, Operator-valued Fourier multipliers
Turkish CoHE Thesis Center URL
Citation
30
WoS Q
Q1
Scopus Q
Q1
Source
Volume
249
Issue
3
Start Page
526
End Page
550