Cauchy Problems for Evolutionary Pseudodifferential Equations over p‐Adic Field

Bo Wu, Yin Li and Weiyi Su

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/490849

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:490849

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