p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields
In this paper, we study the solutions of the pseudodifferential equations of type Dα u=v over p-adic field ℚp, where Dα is a p-adic fractional pseudodifferential operator. If v is a Bruhat-Schwartz function, then there exists a distribution Eα, a fundamental solution, such that u=Eα*v is a solution....
| Published in: | Discrete Dynamics in Nature and Society |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Online Access: | http://dx.doi.org/10.1155/2013/635690 |