数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (2): 153-166.
易法槐1, 邱宜坪2
Fahuak Yi1, Yipin Qiu2
摘要: This paper deals with the equation:
∂β(u)+▽[vβ(u)-▽u]=f in D'(QT) where QT=Ω×(0,T], Ω is a bounded domain with piecewise smooth boundary, β is maximal monotone graph,v:QT→Rm There are weak solutions to the evloutionary and seady-state problems associated with this equation, provided the boundary conditions on u are chosen appropriately. We also prove the uniqueness of both problems.