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
UR - http://www.scopus.com/inward/record.url?scp=23044525208&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=23044525208&partnerID=8YFLogxK
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 -