논문KCI 등재
H\＂older convergence of the weak solution to an evolution equation of $p$-Ginzburg-Landau type
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Abstract
The author studies the local H"older convergence of the solution toan evolution equation of p-Ginzburg-Landau type, to the heat flowof the p-harmonic map, when the parameter tends to zero. Theconvergence is derived by establishing a uniform gradient estimationfor the solution of the regularized equation.
참고문헌 (9)
- "Asymptotics for the minimization of a Ginzburg-Landau functional", pp.123~ (1993)
- Chen, "Boundary estimates for solutions of nonlinear degenerate parabolic systems", pp.102~ (1989)
- Chen, "Heat flow of p-harmonic maps with values into spheres", pp.25~ (1994)
- DiBenedetto, "older estimates for nonlinear degenerate parabolic systems", pp.1~ (1985)
- S. J. Ding, "H＂older convergence of Ginzburg-Landau approximations to the harmonic map heat flow", 46(6), pp.807~816 (2001)
- R. Jerrard, "Dynamics of Ginzburg-Landau vortices", 142(2), pp.99~128 (1998)
- Y. T. Lei, "C^{1,alpha convergence of a Ginzburg-Landau type minimizer in higher dimensions}", 59(4), pp.609~627 (2004)
- F. H. Lin, "Some dynamical properties of Ginzburg-Landau vortices", 49(4), pp.323~359 (1996)
- Zhao, "Existence and nonexistance of solutions for u_t=operatorname{div", pp.130~ (1993)
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