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.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
1994年第3期232-238,共7页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
抛物型复方程
非线性
边值问题
Cauchy problem
nonlinear parabolic equation of second ord
measurable coefficients