Degenerate Differential Operators with Parameters

Veli B. Shakhmurov
2007 Abstract and Applied Analysis  
The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint. Several conditions for the maximal regularity uniformly with respect to the parameter and the Fredholmness in Banach-valuedLp−spaces of these problems are given. In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for
more » ... tems of elliptic equations with parameters on cylindrical domain are studied.
doi:10.1155/2007/51410 fatcat:5xdeqd3wu5c2loeopkzczq4sxa