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arXiv · 0909.0501

Hard Implicit Function Theorem via the DSM

A. G. Ramm
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Abstract

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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A. G. Ramm. 2009-09-02. Hard Implicit Function Theorem via the DSM. https://arxiv.org/abs/0909.0501

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