A Banach space ODE framework for inverse scattering via invariant imbedding (Q1822259)
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scientific article; zbMATH DE number 4002573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Banach space ODE framework for inverse scattering via invariant imbedding |
scientific article; zbMATH DE number 4002573 |
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A Banach space ODE framework for inverse scattering via invariant imbedding (English)
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1986
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The propagation of an electromagnetic field through a stratified medium is considered. The function A describing a property of the medium satisfies the integro-differential equation with the reflection kernel as an initial data. The aim of the paper is to pose the equation for A as an operator differential equation in the Banach space C(0,1). This permits the author to obtain local existence, uniqueness, continuous dependence and differentiability of the solution with respect to the initial data.
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operator differential equation
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Banach space
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local existence
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uniqueness
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continuous dependence
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differentiability of the solution
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