The Cauchy - Dirichlet
نویسنده
چکیده
K e y w o r d s P a r a b o l i c equations, Cauchy-Dirichlet problem. 1. I N T R O D U C T I O N Let Z; be a l inear parabol ic opera to r of the form, x lx j i,j=l i=1 ! ! ] ~n -F1 . w h e r e x = (xt , t) ---( x l , x 2 , . . . ,X/n,t) C Let f~ C ]R ~ be a bounded C 1,1 domain and QT, the cylinder ft × (0, T) . Aim of this note is to s tudy the Cauchy-Dir ichle t problem, Z:u = f , a.e. x C QT, u = 0, on cgf~ x ( 0 , T ) , u (z' , 0) = 0, in f~, (1.1)
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