Coercive boundary value problems for regular degenerate equations

Shakhmurov V.

4th International Conference on Dynamic Systems and Applications, Georgia, United States Of America, 21 - 24 May 2003, pp.452-457 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Georgia
  • Country: United States Of America
  • Page Numbers: pp.452-457
  • Istanbul University Affiliated: No

Abstract

This study focuses on nonlocal boundary value problems (BVP) for degenerate elliptic differential-operator equations (DOE), that axe 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. At first a DOE with constant coefficients in the principal part, are investigated, where considered domain depends on certain parameter. In this case uniform maximal L-p-regularity and fredholmess with respect to the domain parameter are showed.