Sobolev Spaces and Elliptic Theory on Unbounded Domains in Rn\mathbb R^n

preprint2012arXivOpen access

Abstract

In this article, we develop the theory of weighted L2L^2 Sobolev spaces on unbounded domains in Rn\mathbb R^n. As an application, we establish the elliptic theory for elliptic operators and prove trace and extension results analogous to the bounded, unweighted case.

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