1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. I...1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. In [2], Coifman and Meyer proved that the operator σ(x, D) is bounded in L~2(R~n) if its symbold (x, ξ) satisfies:展开更多
In this paper.we gave the generalized derivative definition of mapping at infinitely spaceand took the derivative intead of the Frechet detivative of snooth mapping.We got a damping New-ton's method dormain of con...In this paper.we gave the generalized derivative definition of mapping at infinitely spaceand took the derivative intead of the Frechet detivative of snooth mapping.We got a damping New-ton's method dormain of convergence theorerm of non-smooth operators equarion at infinitely dimen-sonal space.展开更多
基金Project supported by the Science Fund of the Chinese Academy of Sciences.
文摘1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. In [2], Coifman and Meyer proved that the operator σ(x, D) is bounded in L~2(R~n) if its symbold (x, ξ) satisfies:
文摘In this paper.we gave the generalized derivative definition of mapping at infinitely spaceand took the derivative intead of the Frechet detivative of snooth mapping.We got a damping New-ton's method dormain of convergence theorerm of non-smooth operators equarion at infinitely dimen-sonal space.
