The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
Date
2014Author
Maria Martell, JoseMitrea, Donna
Mitrea, Irina
Mitrea, Marius
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http://hdl.handle.net/20.500.12613/5902
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10.1090/conm/612/12228Abstract
We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in $L^p$-based Sobolev spaces, $1<p<\infty$, of arbitrary smoothness $\ell$, is well-posed in the class of functions whose nontangential maximal operator of their derivatives up to, and including, order $\ell$ is $L^p$-integrable. This class includes all scalar, complex coefficient elliptic operators of second order, as well as the Lam\'e system of elasticity, among others.Citation to related work
American Mathematical SocietyHas part
HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONSADA compliance
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http://dx.doi.org/10.34944/dspace/5884