-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over -Adic Fields

Bo Wu

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-4

Abstract:

In this paper, we study the solutions of the pseudodifferential equations of type over -adic field , where is a -adic fractional pseudodifferential operator. If is a Bruhat-Schwartz function, then there exists a distribution , a fundamental solution, such that is a solution. We also show that the solution belongs to a certain Sobolev space. Furthermore, we give conditions for the continuity and uniqueness of .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:635690

DOI: 10.1155/2013/635690

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