Elliptic Systems of PDE with BMO-coefficients |
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Authors: | Stroffolini Bianca |
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Institution: | (1) Dipartimento di Matematica e Applicazioni Renato Caccioppoli, via Cintia, 80126 Naples, Italy |
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Abstract: | The present paper is concerned with elliptic systems with BMO coefficients: div(Au)=divF, where A(x) is a positive definite matrix whose entries are in BMO and F is a given matrix field in L
p
. We show existence and uniqueness of the distributional solution of class W
1,p
, provided p is close to 2, depending on the BMO norm of A. This result is achieved using a refinement of a classical Theorem of Coifman Rochberg and Weiss about commutators with BMO functions. |
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Keywords: | BMO functions linear and nonlinear commutators Hodge decomposition |
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