Campanato estimates for the generalized Stokes System
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چکیده
منابع مشابه
Uperieure S Ormale N Ecole Morrey-campanato Estimates for Helmholtz Equation Morrey-campanato Estimates for Helmholtz Equation Morrey-campanato Estimates for Helmholtz Equation
We derive uniform weighted L 2 and Morrey-Campanato type estimates for Helmholtz Equations in a medium with a variable index which is not necessarily constant at innnity. Our technique is based on a multiplier method with appropriate weights which generalize those of Morawetz for the wave equation. We also extend our method to the wave equation.
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We establish estimates in BMO and Campanato-John-Nirenberg spaces BMOψ for the second derivatives of solutions to the fully nonlinear elliptic equation F(D2u, x) = f (x).
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The following note deals with classical Schauder and L estimates in the setting of parabolic systems. For the heat equation these estimates are usually obtained via potential theoretic methods, i.e. by studying the fundamental solution (see e.g. [3], [8], and, for the elliptic case, [7]). For systems, however, it has become customary to base both Schauder and L theory on Campanato’s technique. ...
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In this paper, we prove uniform Morrey-Campanato type estimates for this equation, using a multiplier method borrowed from [9]. These bounds encode in the optimal way the decay: |u(x)| ∼ 1/|x| d−1 2 at infinity of the solution u. They imply weighted L-estimates for the solution u. We also prove a uniform L-estimate without weight for the trace of the solution on the interface, which states that...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2013
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-013-0355-5