Välkommen till en föreläsning i seminarieserien i matematik.
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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