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Singular integral equations in generalized weighted Morrey spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-8595-4326
2010 (English)In: Numerical analysis and applied mathematics: Conference on Numerical Analysis and Applied Mathematics 2010, Rhodes, Greece, 19 - 25 September 2010 / [ed] Theodore E. Simos, American Institute of Physics (AIP), 2010, p. 498-501Conference paper, Published paper (Refereed)
Abstract [en]

We consider singular integral equations with discontinuous coefficients in generalized weighted Morrey spaces. We prove a result on Fredholmness of such equations. Moreover, we give explicit formulas showing direct dependence of the number of solutions on the parameters defining the space. Finally we apply our result to derive concrete solutions, in this space, of Sönghen equation which is of great interest in aerodynamics.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2010. p. 498-501
Series
A I P Conference Proceedings Series, ISSN 0094-243X ; 1281
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-30693DOI: 10.1063/1.3498519Scopus ID: 2-s2.0-79954551955Local ID: 49741140-03a7-11e0-b767-000ea68e967bOAI: oai:DiVA.org:ltu-30693DiVA, id: diva2:1003922
Conference
International Conference on Numerical Analysis and Applied Mathematics : 19/09/2010 - 25/09/2010
Note
Validerad; 2010; 20101209 (andbra)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-07-10Bibliographically approved

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Persson, Lars-ErikSamko, Natasha

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