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Monotonicity Property of Non-Archimedean Heat Equation

Antoniouk, Alexandra V. et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
We prove the monotone dependence of the heat kernel corresponding to the Vladimirov-Taibleson non-Archimedean fractional differentiation operator $D^α$ on the order $α$.
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