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On adaptation of methods of nonlinear PDEs to fractional diffusion operators

B. P. Andreianov

University of Franche-Comté



Abstract: The notions of entropy, kinetic and renormalized solutions yield consistent well-posedness theories for scalar hyperbolic and degenerate parabolic PDEs of convection-diffusion type. In this talk the adaptation of these methods to the fractional version of such PDEs (with addition of a fractional diffusion operator) will be discussed. The talk is based upon joint works of the speaker with N. Alibaud (Besancon, France), M. Bendahmane (Bordeaux, France), A. Ouedraogo (Bobo-Dioulasso, Burkina-Faso).

Website: https://teams.microsoft.com/l/meetup-join/19%3ameeting_YzMyMjgxMjktYTY5ZC00M2Y4LWIzYTgtNDVjNTMxZTM1Njhh%40thread.v2/0?context=%7b%22Tid%22%3a%222ae95c20-c675-4c48-88d3-f276b762bf52%22%2c%22Oid%22%3a%2266c4b047-af30-41c8-9097-2039bac83cbc%22%7d


© Steklov Math. Inst. of RAS, 2024