The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
dc.creator | Maria Martell, Jose | |
dc.creator | Mitrea, Donna | |
dc.creator | Mitrea, Irina | |
dc.creator | Mitrea, Marius | |
dc.date.accessioned | 2021-02-03T19:14:42Z | |
dc.date.available | 2021-02-03T19:14:42Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 0271-4132 | |
dc.identifier.issn | 1098-3627 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/5884 | |
dc.identifier.other | BA3EJ (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/5902 | |
dc.description.abstract | 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. | |
dc.format.extent | 123-+ | |
dc.relation.haspart | HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS | |
dc.relation.isreferencedby | American Mathematical Society | |
dc.subject | math.AP | |
dc.subject | math.AP | |
dc.subject | math.CA | |
dc.subject | Primary: 35B65, 35J45, 35J57, Secondary: 35C15, 74B05, 74G05 | |
dc.title | The higher order regularity Dirichlet problem for elliptic systems in the upper-half space | |
dc.type | Article | |
dc.relation.doi | 10.1090/conm/612/12228 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-03T19:14:39Z | |
refterms.dateFOA | 2021-02-03T19:14:42Z |