On the finite space blow up of the solutions of the Swift-Hohenberg equation

Ferreira, Jr., Vanderley; dos Santos, Ederson Moreira

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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.)

On the finite space blow up of the solutions of the Swift-Hohenberg equation

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Author(s):	Ferreira, Jr., Vanderley ^[1] ; dos Santos, Ederson Moreira ^[1] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 54, n. 1, p. 1161-1182, SEP 2015.
Web of Science Citations:	2
Abstract
The aim of this paper is to study the finite space blow up of the solutions for a class of fourth order differential equations. Our results answer a conjecture by Gazzola and Pavani (Arch Ration Mech Anal 207(2):717-752, 2013) and they have implications on the nonexistence of beam oscillation given by traveling wave profile at low speed propagation. (AU)

FAPESP's process:	14/03805-2 - Nonlinear elliptic partial differential equations and systems
Grantee:	Ederson Moreira dos Santos
Support Opportunities:	Scholarships abroad - Research


FAPESP's process:	12/23741-3 - Fourth order elliptic equations
Grantee:	Vanderley Alves Ferreira Junior
Support Opportunities:	Scholarships in Brazil - Doctorate

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