C-infinity Interfaces of Solutions for One-dimensional Parabolic p-Laplacian Equations

Date

1999-01-05

Authors

Ham, Yoonmi
Ko, Youngsang

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study the regularity of a moving interface x = ζ (t) of the solutions for the initial value problem ut = (|ux|p - 2ux)x u(x,0) = u0(x), where u0 ∈ L1(ℝ) and p > 2. We prove that each side of the moving interface is C∞.

Description

Keywords

p-Laplacian, Free boundary, C-infinity regularity

Citation

Ham, Y., & Ko, Y. (1999). C-infinity interfaces of solutions for one-dimensional parabolic p-Laplacian equations. <i>Electronic Journal of Differential Equations, 1999</i>(01), pp. 1-12.

Rights

Attribution 4.0 International

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