Implicit function theorem via the DSM |
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Authors: | AG Ramm |
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Institution: | Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA |
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Abstract: | Sufficient conditions are given for an 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 Fréchet derivative of the nonlinear operator is a smoothing operator, so that its inverse is an unbounded operator. |
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