可测系数的二阶非线性抛物型复方程的Cauchy问题  

THE CAUCHY PROBLEM FOR NONLINEAR PARABOLIC EQUATION OF SECOND ORDER WITH MEASURABLE COEFFICIENTS

作　　者：闻国椿[1] 王莉[1] 

机构地区：[1]北京大学数学系,西南师范大学数系

出　　处：《西南师范大学学报（自然科学版）》1994年第3期232-238,共7页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：讨论了可测系数的二阶非线性抛物型复方程Ｆ（ｚ，ｔ，ｕ，ｕ＿ｚ，ｕ＿（ｚｚ），ｕ（ｚｚ））－ｕ＿Ｉ＝０的Ｃａｕｃｈｙ问题解的存在性及唯一性．The Cauchy problem for nonlimear parabolic equation of seconcl order with measurable coeffi- cients. is discussed:Under certain conditions,the uniqueness and existence of solution of the Cauchy problem u(z,0)=g(z),z∈E;for nonlinear parabolic equation of second order are proved.

关 键 词：抛物型复方程 非线性 边值问题 

分 类 号：O175.26[理学—数学]