2 papers
math.NT2025
Non-Archimedean Kelvin Transformation
Alexandra V. Antoniouk, Anatoly N. Kochubei
We introduce and study an analog of the Kelvin transformation connected with the Vladimirov-Taibleson operator acting on real- or complex-valued functions on a space over a n…
math.AP2025
Non-Archimedean Neumann problem: weak and strong solutions
Alexandra V. Antoniouk, Anatoly N. Kochubei
We consider the Neumann problem for the equation with the Vladimirov-Taibleson fractional differentiation operator over a non-Archimedean local field. We study weak solutions follo…