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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Communications in Partial Differential Equations
( Vol. 24 NO.9 / (1999))
Weighted Sobolev Spaces and Laplace's Equation and the Heat Equations in a Half Space
N. V. Krylov,
Pages. 1611-1653
Abstract
Contents 1. Sobolev Spaces with Weights 2. Characterizations of $H^\gamma_{p,\theta}$ 3. Embedding theorems for $H^\gamma_{p,\theta}$ 4. Elliptic Equations in $\mathbb{R}^d_+$ 5. Parabolic Equations in $\mathbb{R}^d_+$ 6. Proof of Lemma 5.7 Appendix
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