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Applications of Tauberian theorems in some problems in mathematical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 373-390 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Yu. N. Drozhzhinov; B. I. Zavialov. Applications of Tauberian theorems in some problems in mathematical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 373-390. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a4/

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