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Applications of Tauberian theorems in some problems in mathematical physics |
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| Authors: | Yu N Drozhzhinov B I Zavyalov |
| Institution: | (1) Steklov Mathematical Institute, RAS, Moscow, Russia |
| 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 Schr?dinger equation Cauchy problem Banach space |
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