Applications of Tauberian theorems in some problems in mathematical physics

Applications of Tauberian theorems in some problems in mathematical physics

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 as...

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Veröffentlicht in:Theoretical and mathematical physics 2008-12, Vol.157 (3), p.1678-1693
Hauptverfasser: Drozhzhinov, Yu. N., Zavyalov, B. I.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-008-0140-6