Hard Implicit Function Theorem via the DSM

Details Hard Implicit Function Theorem via the DSM Hard Implicit Function Theorem via the DSM

2009-09-02

arxiv.org/abs/0909.0501v2

Mathematics

Functional Analysis

Scientific paper

Sufficient conditions are given for a hard implicit function theorem to hold.
The result is established by an application of the Dynamical Systems Method
(DSM). It allows one to solve a class of nonlinear operator equations in the
case when the Fr\'echet derivative of the nonlinear operator is a smoothing
operator, so that its inverse is an unbounded operator.

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