[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.3.585

HÖLDER CONVERGENCE OF THE WEAK SOLUTION TO AN EVOLUTION EQUATION OF p-GINZBURG-LANDAU TYPE

Lei, Yutian (INSTITUTE OF MATHEMATICS SCHOOL OF MATHEMATICS AND COMPUTER SCIENCES NANJING NORMAL UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 585-603 More about this Journal

Abstract

The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

Keywords

$H\ddot{o}lder$ convergence; p-Ginzburg-Landau equations; heat flow of p-harmonic map;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

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