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Besov Spaces (besov + space)

Distribution by Scientific Domains
Mathematics and Statistics100%

Selected Abstracts

On the well-posedness of the Cauchy problem for an MHD system in Besov spaces

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 1 2009
Changxing Miao
Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension n,3, we establish the global well-posedness of the Cauchy problem of an incompressible magneto-hydrodynamics system for small data and the local one for large data in the Besov space , (,n), 1,p<, and 1,r,,. Meanwhile, we also prove the weak,strong uniqueness of solutions with data in , (,n),L2(,n) for n/2p+2/r>1. In the case of n=2, we establish the global well-posedness of solutions for large initial data in homogeneous Besov space , (,2) for 2[source]

Characterizations of weighted Besov spaces

MATHEMATISCHE NACHRICHTEN, Issue 1-2 2007
G. Pradolini
Abstract We define a class of weighted Besov spaces and we obtain a characterization of this class by means of an appropriate class of weighted Lipschitz , spaces. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Elliptic and parabolic problems in unbounded domains

MATHEMATISCHE NACHRICHTEN, Issue 1 2004
Patrick Guidotti
Abstract We consider elliptic and parabolic problems in unbounded domains. We give general existence and regularity results in Besov spaces and semi-explicit representation formulas via operator-valued fundamental solutions which turn out to be a powerful tool to derive a series of qualitative results about the solutions. We give a sample of possible applications including asymptotic behavior in the large, singular perturbations, exact boundary conditions on artificial boundaries and validity of maximum principles. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Operator,valued Fourier multiplier theorems on Besov spaces

MATHEMATISCHE NACHRICHTEN, Issue 1 2003
Maria Girardi
Presented is a general Fourier multiplier theorem for operator,valued multiplier functions on vector,valued Besov spaces where the required smoothness of the multiplier functions depends on the geometry of the underlying Banach space (specifically, its Fourier type). The main result covers many classical multiplier conditions, such as Mihlin and Hörmander conditions. [source]