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dc.creatorMaria Martell, Jose
dc.creatorMitrea, Donna
dc.creatorMitrea, Irina
dc.creatorMitrea, Marius
dc.date.accessioned2021-02-03T19:14:42Z
dc.date.available2021-02-03T19:14:42Z
dc.date.issued2014
dc.identifier.issn0271-4132
dc.identifier.issn1098-3627
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5884
dc.identifier.otherBA3EJ (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5902
dc.description.abstractWe 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.
dc.format.extent123-+
dc.relation.haspartHARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS
dc.relation.isreferencedbyAmerican Mathematical Society
dc.subjectmath.AP
dc.subjectmath.AP
dc.subjectmath.CA
dc.subjectPrimary: 35B65, 35J45, 35J57, Secondary: 35C15, 74B05, 74G05
dc.titleThe higher order regularity Dirichlet problem for elliptic systems in the upper-half space
dc.typeArticle
dc.relation.doi10.1090/conm/612/12228
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T19:14:39Z
refterms.dateFOA2021-02-03T19:14:42Z


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