Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition

0175007 - MU-W 20010053 RIV CZ eng J - Článek v odborném periodiku
Amrouche, Ch. - Nečasová, Šárka
Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition.
Mathematica Bohemica. Roč. 126, č. 2 (2001), s. 265-274. ISSN 0862-7959
Grant CEP: GA ČR GA201/99/0267
Výzkumný záměr: CEZ:AV0Z1019905
Kód oboru RIV: BA - Obecná matematika

We deal with the Laplace equation in the half space. The use of a special family of weigted Sobolev spaces as a framework is at the heart of our approach. A complete class of existence, uniqueness and regularity results is obtained for inhomogeneous Dirichlet problem.
Trvalý link: http://hdl.handle.net/11104/0071998