Linear and nonlinear degenerate boundary value problems in Besov spaces
نویسندگان
چکیده
منابع مشابه
Linear and nonlinear degenerate boundary value problems in Besov spaces
Keywords: Boundary value problems Differential-operator equations Banach-valued Besov spaces Operator-valued multipliers Interpolation of Banach spaces a b s t r a c t The boundary value problems for linear and nonlinear degenerate differential-operator equations in Banach-valued Besov spaces are studied. Several conditions for the separability of linear elliptic problems are given. Moreover, t...
متن کاملRegularity estimates for elliptic boundary value problems in Besov spaces
We consider the Dirichlet problem for Poisson’s equation on a nonconvex plane polygonal domain Ω. New regularity estimates for its solution in terms of Besov and Sobolev norms of fractional order are proved. The analysis is based on new interpolation results and multilevel representations of norms on Sobolev and Besov spaces. The results can be extended to a large class of elliptic boundary val...
متن کاملBesov Regularity for Elliptic Boundary Value Problems
This paper studies the regularity of solutions to boundary value problems for Laplace's equation on Lipschitz domains in R d and its relationship with adaptive and other nonlinear methods for approximating these solutions. The smoothness spaces which determine the eeciency of such nonlinear approximation in L p (() are the Besov spaces B (L (()), := (=d + 1=p) ?1. Thus, the regularity of the so...
متن کاملPeriodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
متن کاملLayer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable t-independent coefficients in spaces of fractional smoothness, in Besov and weighted L classes. We establish: (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2009
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.04.008