A class of degenerate totally nonlinear parabolic equations

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題名:	A class of degenerate totally nonlinear parabolic equations
作者:	Lin,CY;Fan,LC
貢獻者:	數學研究所
關鍵詞:	BOUNDARY-VALUE PROBLEMS
日期:	1996
上傳時間:	2010-06-29 19:39:51 (UTC+8)
出版者:	中央大學
摘要:	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.
關聯:	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
顯示於類別:	[數學研究所] 期刊論文

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