The Non-Archimedean Stochastic Heat Equation driven by Gaussian Noise

2014/06/24 by W. A. Zúñiga‐Galindo, W. A. Zúñiga-Galindo, Zúñiga-Galindo, W. A.
Mathematics · Physics and Astronomy · #46S10 #60H15 #FOS: Mathematics #Mathematical and Theoretical Analysis #Primary 60H20 #Probability (math.PR) #Quantum Mechanics and Applications #Secondary 60G15 #advanced mathematical theories #math.PR #msc:46S10 #msc:60G15 #msc:60H15 #msc:60H20

paper · pdf · doi:10.48550/arxiv.1406.6121

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

arxiv created 2014/06/24 · openalex publication_date 2014/06/24 · arxiv updated 2014/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Stochastic integrals for spde's: a comparison

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