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Interpolation and partial differential equations
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Mathematics, Narvik university of technology.
1994 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 35, no 9, 5035-5046 p.Article in journal (Refereed) Published
Abstract [en]

One of the main motivations for developing the theory of interpolation was to apply it to the theory of partial differential equations (PDEs). Nowadays interpolation theory has been developed in an almost unbelievable way {see the bibliography of Maligranda [Interpolation of Operators and Applications (1926-1990), 2nd ed. (Luleå University, Luleå, 1993), p. 154]}. In this article some model examples are presented which display how powerful this theory is when dealing with PDEs. One main aim is to point out when it suffices to use classical interpolation theory and also to give concrete examples of situations when nonlinear interpolation theory has to be applied. Some historical remarks are also included and the relations to similar results are pointed out

Place, publisher, year, edition, pages
1994. Vol. 35, no 9, 5035-5046 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-7009DOI: 10.1063/1.530829Local ID: 55737d40-b78f-11db-abff-000ea68e967bOAI: oai:DiVA.org:ltu-7009DiVA: diva2:979895
Note

Godkänd; 1994; 20070208 (kani)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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