The $L^{p}$ regularity problem on Lipschitz domains
نویسندگان
چکیده
منابع مشابه
Regularity Problem on Lipschitz Domains
This paper contains two results on the Lp regularity problem on Lipschitz domains. For second order elliptic systems and 1 < p < ∞, we prove that the solvability of the Lp regularity problem is equivalent to that of the Lp ′ Dirichlet problem. For higher order elliptic equations and systems, we show that if p > 2, the solvability of the Lp regularity problem is equivalent to a weak reverse Höld...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2010-05076-7