Linear ill-posed problems and dynamical systems (Q5940326)
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scientific article; zbMATH DE number 1624810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear ill-posed problems and dynamical systems |
scientific article; zbMATH DE number 1624810 |
Statements
Linear ill-posed problems and dynamical systems (English)
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30 January 2002
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A new approach to solving linear ill-posed problems is proposed. The approach consists of solving a Cauchy problem for a linear operator equation and proving that this problem has a global solution whose limit at infinity solves the original linear equation. This approach is justified for linear equations with bounded injective operators which have unbounded inverse.
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linear ill-posed problems
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dynamical systems
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operator equations in Hilbert spaces
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Cauchy problem
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bounded injective operators
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unbounded inverse
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