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A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. (arXiv:1802.09754v2 [math.DS] UPDATED)
来源于:arXiv
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. 查看全文>>