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NCTS Seminar on Mathematical Biology
 
15:10 - 16:00, June 22, 2018 (Friday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
A Lyapunov Function for Fully Nonlinear Parabolic Equations in One Spatial Variable
Phillipo Lappicy (Universidade de São Paulo)

Abstract:

Lyapunov functions are used to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Zelenyak (1968) and Matano (1988) constructed a Lyapunov function for quasilinear parabolic equations. We modify Matano's method to construct a Lyapunov function for fully nonlinear parabolic equations under Dirichlet and mixed nonlinear boundary conditions of Robin type.



 

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