Characterization of anisotropic high order Sobolev spaces

2018/05/23 by Nguyen Lam, Lam, Nguyen, Ali Maalaoui +3
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1805.09230

Abstract

We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.

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