5 citations · 6 across the 6 of their papers we have counts for
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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…
Existence and uniqueness for -adic counterpart of the porous medium equation
Alexandra Antoniouk, Anatoly Kochubei, Oleksii Nikitchenko
We develop a theory of generalized solutions of the nonlinear evolution equations for complex-valued functions of a real positive time variable and -adic spatial variable, which…
Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables
Alexandra V. Antoniouk, Andrei Yu. Khrennikov, Anatoly N. Kochubei
We study the Cauchy problem for -adic nonlinear evolutionary pseudo-differential equations for complex-valued functions of a real positive time variable and p-adic spatial varia…