Maximal B-regular boundary value problems with parameters

Shakhmurov, VB

doi:10.1016/j.jmaa.2005.05.083

Maximal B-regular boundary value problems with parameters

Atıf İçin Kopyala

Shakhmurov V.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.320, sa.1, ss.1-19, 2006 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 320 Sayı: 1
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.jmaa.2005.05.083
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1-19
İstanbul Üniversitesi Adresli: Hayır

Özet

This study focuses on non-local boundary value problems (BVP) for elliptic differential-operator equations (DOE) defined in Banach-valued Besov (B) spaces. Here equations and boundary conditions contain certain parameters. This study found some conditions that guarantee the maximal regularity and fredholmness in Banach-valued B-spaces uniformly with respect to these parameters. These results are applied to non-local boundary value problems for a regular elliptic partial differential equation with parameters on a cylindrical domain to obtain algebraic conditions that guarantee the same properties. (c) 2005 Published by Elsevier Inc.