A CLASS OF PARABOLIC EQUATIONS DRIVEN BY THE MEAN CURVATURE FLOW

de Araujo, Anderson L. A.; Montenegro, Marcelo

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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 CLASS OF PARABOLIC EQUATIONS DRIVEN BY THE MEAN CURVATURE FLOW

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Author(s):	de Araujo, Anderson L. A. ^[1] ; Montenegro, Marcelo ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Vicosa, CCE, Dept Matemat, Ave PH Rolfs S-N, BR-36570900 Vicosa, MG - Brazil ^[2] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 1, p. 135-163, FEB 2019.
Web of Science Citations:	0
Abstract
We study a class of parabolic equations which can be viewed as a generalized mean curvature flow acting on cylindrically symmetric surfaces with a Dirichlet condition on the boundary. We prove the existence of a unique solution by means of an approximation scheme. We also develop the theory of asymptotic stability for solutions of general parabolic problems. (AU)

FAPESP's process:	13/22328-8 - Coincidence theorems and applications in differentials equations.
Grantee:	Anderson Luis Albuquerque de Araujo
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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