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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Lyapunov function for fully nonlinear parabolic equations in one spatial variable

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Author(s):
Lappicy, Phillipo [1] ; Fiedler, Bernold [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Free Univ Berlin, Inst Math, Arnimallee 3, D-14195 Berlin - Germany
Total Affiliations: 2
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 283-291, JUN 2019.
Web of Science Citations: 1
Abstract

Lyapunov functions are used in order 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. (AU)

FAPESP's process: 17/07882-0 - Einstein constraints and differential equations on the sphere
Grantee:Phillipo Lappicy Lemos Gomes
Support Opportunities: Scholarships in Brazil - Post-Doctoral