The Non-Archimedean Stochastic Heat Equation driven by Gaussian Noise
classification
🧮 math.PR
keywords
equationsnon-archimedeanstochasticheatclassclassicalcounterpartsdriven
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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.
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