Coercive boundary value problems for regular degenerate differential-operator equations

Shakhmurov, VB

doi:10.1016/j.jmaa.2003.12.032

Coercive boundary value problems for regular degenerate differential-operator equations

Atıf İçin Kopyala

Shakhmurov V.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.292, sa.2, ss.605-620, 2004 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 292 Sayı: 2
Basım Tarihi: 2004
Doi Numarası: 10.1016/j.jmaa.2003.12.032
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.605-620
İstanbul Üniversitesi Adresli: Hayır

Özet

This study focuses on nonlocal boundary value problems (BVP) for degenerate elliptic differential operator equations (DOE), that are defined in Banach-valued function spaces, where boundary conditions contain a degenerate function and a principal part of the equation possess varying coefficients. Several conditions obtained, that guarantee the maximal L-p regularity and Fredholmness. These results are also applied to nonlocal BVP for regular degenerate partial differential equations on cylindrical domain to obtain the algebraic conditions that ensure the same properties. (C) 2004 Elsevier Inc. All rights reserved.