The Non-Archimedean Stochastic Heat Equation driven by Gaussian Noise

Abstract

We introduce and study a new class of non-Archimedean stochastic pseudodifferential equations. These equations are the non-Archimedean counterparts of the classical stochastic heat equations. We show the existence and uniqueness of mild random field solutions for these equations.

arXiv admin note: text overlap with arXiv:1001.0856 by other authors

References in corpus (2)

• Nonlocal Operators, Parabolic-type Equations, and Ultrametric Random Walks
• Application of p-adic analysis to time series