On generation of \(C_0\) semigroups and nonlinear operator semigroups (Q1864449)
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scientific article; zbMATH DE number 1883943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On generation of \(C_0\) semigroups and nonlinear operator semigroups |
scientific article; zbMATH DE number 1883943 |
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On generation of \(C_0\) semigroups and nonlinear operator semigroups (English)
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18 March 2003
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This article presents new proofs (based on the theory of difference equations) of two classical theorems in the theory of semigroups of linear and nonlinear operators in a Banach space \(X\): the Hille-Phillips-Yosida theorem about generators of \(C_0\)-semigroups of bounded operators and the Crandall-Ligget theorem about generators of semigroups of nonlinear operators.
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difference equations
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semigroups of linear and nonlinear operators
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Hille-Phillips-Yosida theorem
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generators of \(C_0\)-semigroups
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bounded operators
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Crandall-Ligget theorem
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