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Obstacle Problems for Scalar Ginzburg-Landau Equations

Obstacle Problems for Scalar Ginzburg-Landau Equations

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 49–56

Abstract

In this note, we establish some estimates of solutions of the scalar Ginzburg-Landau equation and other nonlinear Laplacian equation Δu = f(x, u). This will give an estimate of the Hausdorff dimension for the free boundary of the obstacle problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5375

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 49–56

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Laplacian operator