TY - JOUR

T1 - A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space

AU - Maruyama, Toru

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - Convex normal integrand

KW - Differential inclusion

KW - Lower compactness property

KW - Vector-valued absolutely continuous function

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M3 - Article

AN - SCOPUS:23044525208

VL - 77

SP - 5

EP - 10

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

IS - 1

ER -