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

Title & Authors
HÖLDER CONVERGENCE OF THE WEAK SOLUTION TO AN EVOLUTION EQUATION OF p-GINZBURG-LANDAU TYPE
Lei, Yutian;

Abstract
The author studies the local $\small{H\ddot{o}lder}$ 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
$\small{H\ddot{o}lder}$ convergence;p-Ginzburg-Landau equations;heat flow of p-harmonic map;
Language
English
Cited by
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