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arxiv: 2606.20567 · v1 · pith:WJKT6HKEnew · submitted 2026-04-21 · 🧮 math.AP

Monotonicity Property of Non-Archimedean Heat Equation

classification 🧮 math.AP
keywords alphaheatnon-archimedeancorrespondingdependencedifferentiationequationfractional
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We prove the monotone dependence of the heat kernel corresponding to the Vladimirov-Taibleson non-Archimedean fractional differentiation operator $D^\alpha$ on the order $\alpha$.

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