Abstract
In this paper we construct and study a fundamental solution of Cauchy’s problem for p-adic parabolic equations of the type
where \(f\left( D,\beta \right) , \beta >0\), is an elliptic pseudo-differential operator. We also show that the fundamental solution is the transition density of a Markov process with state space \(\mathbb{Q}_p^n \).
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Zúñiga-Galindo, W.A. Parabolic Equations and Markov Processes Over p-Adic Fields. Potential Anal 28, 185–200 (2008). https://doi.org/10.1007/s11118-007-9072-2
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DOI: https://doi.org/10.1007/s11118-007-9072-2