Banach空间中一类非线性发展方程的投影近似可解性及敛速估计

The Projectionally Approximation-solvability and the Estimations of the Convergence Rate for a Class of Nonlinear Evolution Equations in Banach Spaces

本文在Banach 空间中讨论了一类形为-(du)/(dt)=A(t)u+B(t)u的发展型算子方程的投影法近似可解性,并在Hilbert 空间中给出敛速估计.其中,{A(t);tεR^+}和{B(t);tεR^+}为两族稠定非线性算子,A(t)是强增生的,B(t)是下半有界的.

We discuss the projectional approximatlon-solvability for a class of nonlinearevolution equations in Banach spaces given by-(du)/(dt)=A(t)u+B(t)u,u(0)=u_6,where {A(t);t(?)R^+}and{B(t);t(?)R^(?)}are two families of densely defined nonlinearoperators.Operators A(t)are strongly accretive and operators B(t)are lower-semibounded.The error estimations are given in Hilbert spaces.