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Existence conditions for a classical solution of the cauchy problem for the diffusion-wave equation with a partial Caputo derivative

✍ Scribed by A. A. Voroshilov; A. A. Kilbas


Book ID
111454369
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
187 KB
Volume
75
Category
Article
ISSN
1064-5624

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## Abstract Let __D__ βŠ‚ ℝ^__n__^ be a bounded domain with piecewise‐smooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ— [0, __T__]. Consider the time‐like Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi