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Jan. 2001 A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space
Toru Maruyama
Proc. Japan Acad. Ser. A Math. Sci. 77(1): 5-10 (Jan. 2001). DOI: 10.3792/pjaa.77.5

Abstract

The existence theorems for (1) a differential inclusion in a Banach space and (2) a variational problem geverned 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.

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Toru Maruyama. "A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space." Proc. Japan Acad. Ser. A Math. Sci. 77 (1) 5 - 10, Jan. 2001. https://doi.org/10.3792/pjaa.77.5

Information

Published: Jan. 2001
First available in Project Euclid: 23 May 2006

zbMATH: 0980.34057
MathSciNet: MR1812739
Digital Object Identifier: 10.3792/pjaa.77.5

Subjects:
Primary: 49J24 , 49J40

Keywords: convex normal integrand , Differential inclusion , lower conpactness property , verctor-valued absolutely continuous function

Rights: Copyright © 2001 The Japan Academy

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Vol.77 • No. 1 • Jan. 2001
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