L^p regularity of homogeneous elliptic differential operators with constant coefficients on R^N

2015/07/06 by Rabier, Patrick J.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.01621

Abstract

Let A be a homogeneous elliptic differential operator of order m on % ℝ^N with constant complex coefficients. A partial version of the main result is as follows: Suppose that u∈ L_loc¹ and that Au∈ L^p for some 1

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