Convergence and approximation of semigroups of nonlinear operators in Banach spaces

H. Brezis; A. Pazy

doi:10.1016/0022-1236(72)90014-6

Convergence and approximation of semigroups of nonlinear operators in Banach spaces

H. Brezis, A. Pazy

Research output: Contribution to journal › Article › peer-review

156 Scopus citations

Abstract

A general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.

Original language	English (US)
Pages (from-to)	63-74
Number of pages	12
Journal	Journal of Functional Analysis
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(72)90014-6
State	Published - Jan 1972
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/0022-1236(72)90014-6

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title = "Convergence and approximation of semigroups of nonlinear operators in Banach spaces",

abstract = "A general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.",

author = "H. Brezis and A. Pazy",

year = "1972",

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AU - Pazy, A.

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N2 - A general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.

AB - A general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.

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JO - Journal of Functional Analysis

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Convergence and approximation of semigroups of nonlinear operators in Banach spaces

Abstract

All Science Journal Classification (ASJC) codes

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