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On the Cauchy-Dirichlet Problem in the Half Space for Parabolic SPDEs in Weighted Hoelder Spaces

✍ Scribed by R. Mikulevicius; H. Pragarauskas; N. Sonnadara

Publisher: Springer Netherlands
Year: 2007
Tongue: English
Weight: 436 KB
Volume: 97
Category: Article
ISSN: 0167-8019
DOI: 10.1007/s10440-007-9130-1

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## Abstract The purpose of the present paper is twofold. The first object is to study the Laplace equation with inhomogeneous Dirichlet and Neumann boundary conditions in the half‐space of ℝ^__N__^. The behaviour of solutions at infinity is described by means of a family of weighted Sobolev spaces.