Embedding operators and maximal regular differential-operator equations in Banach-valued function spaces.
Maximal regular boundary value problems in Banach-valued function spaces and applications.
Degenerate differential operators with parameters.
Embedding theorems in Banach-valued -spaces and maximal -regular differential-operator equations.
Maximal regular boundary value problems in Banach-valued weighted space.
Linear and nonlinear abstract differential equations of high order
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part. The separability properties for linear problem, sharp coercive estimates for resolvent, discreetness of spectrum and completeness of root elements of the corresponding differential operator are obtained. Moreover, optimal regularity properties for nonlinear problem is established....
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