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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 373–390
DOI: https://doi.org/10.4213/tmf6286 (Mi tmf6286) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Applications of Tauberian theorems in some problems in mathematical physics

Yu. N. Drozhzhinov, B. I. Zavialov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (486 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6286
Abstract: We give some multidimensional Tauberian theorems for generalized functions and show examples of their application in mathematical physics. In particular, we consider the problems of stabilizing the solutions of the Cauchy problem for the heat kernel equation, multicomponent gas diffusion, and the asymptotic Cauchy problem for a free Schrödinger equation in the norms of different Banach spaces among others.
Keywords: Tauberian theorem, generalized function, partial differential equation, holomorphic function, Schrödinger equation, Cauchy problem, Banach space.
Received: 20.03.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1678–1693
DOI: https://doi.org/10.1007/s11232-008-0140-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. N. Drozhzhinov, B. I. Zavialov, “Applications of Tauberian theorems in some problems in mathematical physics”, TMF, 157:3 (2008), 373–390; Theoret. and Math. Phys., 157:3 (2008), 1678–1693
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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