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

dc.contributor.author	Ham, Yoonmi ( )
dc.contributor.author	Ko, Youngsang ( )
dc.date.accessioned	2019-11-21T20:01:15Z
dc.date.available	2019-11-21T20:01:15Z
dc.date.issued	1999-01-05
dc.identifier.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.	en_US
dc.identifier.issn	1072-6691
dc.identifier.uri	https://digital.library.txstate.edu/handle/10877/8861
dc.description.abstract	We study the regularity of a moving interface x = ζ (t) of the solutions for the initial value problem u_t = (\|u_x\|^p-2u_x)x u(x,0) = u₀(x), where u₀ ∈ L¹(ℝ) and p > 2. We prove that each side of the moving interface is C∞.	en_US
dc.format	Text
dc.format.extent	12 pages
dc.format.medium	1 file (.pdf)
dc.language.iso	en	en_US
dc.publisher	Southwest Texas State University, Department of Mathematics	en_US
dc.source	Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subject	p-Laplacian	en_US
dc.subject	Free boundary	en_US
dc.subject	C-infinity regularity	en_US
dc.title	C-infinity Interfaces of Solutions for One-dimensional Parabolic p-Laplacian Equations	en_US
dc.type	publishedVersion
txstate.documenttype	Article
dc.rights.license	This work is licensed under a Creative Commons Attribution 4.0 International License.