2 papers
math.AP2023
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…
math.AT2021
Fundamental groupoids and homotopy types of non-compact surfaces
Sergiy Maksymenko, Oleksii Nikitchenko
The paper contains an application of van Kampen theorem for groupoids for computation of homotopy types of certain class of non-compact foliated surfaces obtained by gluing at most…