A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space

Toru Maruyama

doi:10.3792/pjaa.77.5

A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space

Toru Maruyama

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

3 Citations (Scopus)

Abstract

The existence theorems for (1) a differential inclusion in a Banach space and (2) a variational problem governed by it are presented. In order to solve this problem, some implications of the weak convergence in the space of vector-valued absolutely continuous functions are also explored.

Original language	English
Pages (from-to)	5-10
Number of pages	6
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	77
Issue number	1
DOIs	https://doi.org/10.3792/pjaa.77.5
Publication status	Published - 2001
Externally published	Yes

Keywords

Convex normal integrand
Differential inclusion
Lower compactness property
Vector-valued absolutely continuous function

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.77.5

Cite this

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abstract = "The existence theorems for (1) a differential inclusion in a Banach space and (2) a variational problem governed by it are presented. In order to solve this problem, some implications of the weak convergence in the space of vector-valued absolutely continuous functions are also explored.",

keywords = "Convex normal integrand, Differential inclusion, Lower compactness property, Vector-valued absolutely continuous function",

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year = "2001",

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KW - Differential inclusion

KW - Lower compactness property

KW - Vector-valued absolutely continuous function

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A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space

Abstract

Keywords

ASJC Scopus subject areas

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