Bessel potential operators for the quarter-plane

DOI10.1080/00036819208840089zbMath0783.47047OpenAlexW2035568873WikidataQ58144533 ScholiaQ58144533MaRDI QIDQ4007144

Frank-Olme Speck, Roland Duduchava

Publication date: 27 September 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840089

zbMATH Keywords

Sobolev spaceconvolutionLipschitz domaindiffraction problemBessel potential operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Diffraction, scattering (78A45) Linear operators on function spaces (general) (47B38)

Related Items (6)

Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant ⋮ Pseudodifferential Operators on Compact Manifolds with Lipschitz Boundary ⋮ A class of interface problems for the Helmholtz equation in Rn ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Diffraction from a three-quarter-plane using an abstract Babinet principle ⋮ Diffraction from Polygonal-conical Screens, an Operator Approach

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Theory of Bessel potentials. I
• A contribution to the quarter-plane problem in diffraction theory
• The algebra of non-classical singular integral operators on half space
• Note on the diffraction at a corner
• Diffraction by a quarter-plane
• A remark on Mikhlin-Hörmander multipliers theorem
• Another approach to elliptic boundary problems
• Elastic-Wave Propagation and the Factorization of Matrix-Valued Functions of Several Complex Variables
• PSEUDODIFFERENTIAL OPERATORS ON A CLASS OF NONCOMPACT MANIFOLDS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bessel potential operators for the quarter-plane