Cauchy Problems for Evolutionary Pseudodifferential Equations over p-Adic Field
We study a class of evolutionary pseudodifferential equations of the second order in t, (∂2u(t,x)/∂t2+2a2Tα/2(∂u(t,x)/∂t)+b2Tαu(t,x)+c2u(t,x)=q(t,x)), where t∈(0,z] and Tα is pseudodifferential operator in x∈Qp, which defined by Weiyi Su in 1992. We obtained the exact solutions to the equations whi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/490849 |