Maximal B-regular boundary value problems with parameters


Shakhmurov V.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.320, ss.1-19, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 320 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jmaa.2005.05.083
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.1-19

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.