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 = Ī¶ (t) of the solutions for the initial value problem
ut = (|ux|p - 2ux)x
u(x,0) = u0(x),
where u0 ā L1(ā) and p > 2. We prove that each side of the moving interface is Cā.
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. Electronic Journal of Differential Equations, 1999(01), pp. 1-12.
Rights
Attribution 4.0 International