cauchy problems for evolutionary pseudodifferential equations over p-adic field
Abstract
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 which belong to mixed classes of real and p-adic functions.
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254738
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Article ID:
254738
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10.1155/2014/490849
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Scimatic Chain (ID: 481)
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