Palestras e Seminários
13/04/2022
14:00
Sala 4-003
Palestrante: Phillipo Lappicy (UFRJ)
Seminários em Dinâmica não-linear
Energy (or Lyapunov) functions are used in order to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Matano constructed a Lyapunov function for quasilinear non-degenerate parabolic equations with gradient dependency. We modify Matano’s method to construct an energy formula for fully nonlinear degenerate parabolic equations. In particular, we provide a new energy formula for the porous medium equation. This is the fruition of joint explorations with Bernold Fiedler (FU-Berlin) and Ester Beatriz (ICMC-USP).
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