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

Andrew Raich; Phillip S. Harrington

arxiv: 1209.4044 · v1 · pith:5RFQDG5Ynew · submitted 2012-09-18 · 🧮 math.AP · math.FA

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

Phillip S. Harrington , Andrew Raich This is my paper

classification 🧮 math.AP math.FA

keywords elliptictheorydomainsmathbbsobolevspacesunboundedanalogous

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In this article, we develop the theory of weighted $L^2$ Sobolev spaces on unbounded domains in $\mathbb R^n$. 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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Sobolev Spaces and Elliptic Theory on Unbounded Domains in mathbb R^n

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