A class of degenerate totally nonlinear parabolic equations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28000

Title:	A class of degenerate totally nonlinear parabolic equations
Authors:	Lin,CY;Fan,LC
Contributors:	數學研究所
Keywords:	BOUNDARY-VALUE PROBLEMS
Date:	1996
Issue Date:	2010-06-29 19:39:51 (UTC+8)
Publisher:	中央大學
Abstract:	Of concern is the following totally nonlinear parabolic equation, as well as its higher space dimensional analogue u(1)(x,t) = beta(phi(x,u(x))u(xx) + f(x,u,u(x))), (x,t) is an element of (0,1) x (0, infinity) u(x)(j,t) is an element of (-1)(i) beta(j)(u(j,t)), j = 0,1 u(x,0) = u(0)(x). Here beta(0) and beta(1) are maximal monotone graphs in R x R, and beta(t) or beta'(t) might equal zero for some t, at which the equation is not uniformly parabolic. It is shown by the method of lines and nonlinear operator semigroup theory that the equation has a unique global solution. (C) 1996 Academic Press, Inc.
Relation:	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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