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Alexandra V Antoniouk: Multidimensional nonlinear evolution equation with p-adic spatial variables

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Föreläsare/Lecturer

Alexandra V Antoniouk, Institute of Mathematics, National Academy of Sciences of Ukraine

Titel/Title

Multidimensional nonlinear evolution equation with p-adic spatial variables

Sammanfattning/Abstract

A non-Archimedean analogue of the classical porous medium equation (A. Khrennikov and A. Kochubei, J. Fourier Anal. Appl., 2018) contains a single p-adic spatial variable, Vladimirov's fractional differentiation operator and a monotone nonlinearity. For the multi-dimensional situation, we prove the m-accretivity of the closure of a nonlinear operator based on a more general nonlocal linear operator introduced by Chacon-Cortes and Zuniga-Galindo. (A joint work with A. Khrennikov and A. Kochubei.)'

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