Coercive boundary value problems for regular degenerate differential-operator equations

ŞAHMUROV V.

Journal of Mathematical Analysis and Applications, vol.292, no.2, pp.605-620, 2004 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 292 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.jmaa.2003.12.032
  • Journal Name: Journal of Mathematical Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.605-620
  • Keywords: Banach-valued function spaces, Differential-operator equations, Fredholmness, Interpolation of Banach spaces, Maximal regularity (or coerciveness), Operator-valued Fourier multipliers
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

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 Lp 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. © 2004 Elsevier Inc. All rights reserved.