A nonlinear inequality and applications

A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to the study of global existence of solutions to nonlin...

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Veröffentlicht in:	Nonlinear analysis 2009-10, Vol.71 (7), p.2744-2752
Hauptverfasser:	Hoang, N.S., Ramm, A.G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems method (DSM) Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Nonlinear inequality Sciences and techniques of general use Stability Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can be applied to the study of global existence of solutions to nonlinear PDE.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.01.112