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math.AP2026
Neumann Boundary Value Problems on -Adic Analytic Manifolds
Patrick Erik Bradley
Inspired by graph theory, Neumann Boundary Value Problems on -adic analytic manifold are formulated. Existence and uniqueness of weak solutions is proven in the ultracontractive…
math.AP2025
Boundary Value Problems for p-Adic Elliptic Parisi-Zúñiga Diffusion
Patrick Erik Bradley
Elliptic integral-differential operators resembling the classical elliptic partial differential equations are defined over a compact d-dimensional p-adic domain together with assoc…
math.AP2024
A non-autonomous p-Adic diffusion equation on time changing graphs
Patrick Erik Bradley, Ángel Morán Ledezma
Motivated by the recently proven presence of ultrametricity in physical models (certain spin glasses) and the very recent study of Turing patterns on locally ultrametric state spac…