[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b150914

THE BOUNDARY HARNACK PRINCIPLE IN HÖLDER DOMAINS WITH A STRONG REGULARITY

Kim, Hyejin (Department of Mathematics and Statistics University of Michigan-Dearborn)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1741-1751 More about this Journal

Abstract

We prove the boundary Harnack principle and the Carleson type estimate for ratios of solutions u/v of non-divergence second order elliptic equations $Lu=a_{ij}D_{ij}+b_iD_iu=0$ in a bounded domain ${\Omega}{\subset}R_n$ . We assume that $b_i{\in}L^n({\Omega})$ and ${\Omega}$ is a $H{\ddot{o}}lder$ domain of order ${\alpha}{\in}$ (0, 1) satisfying a strong regularity condition.

Keywords

boundary Harnack principle; Carleson type estimates; elliptic equations with measurable coefficients;

Citations & Related Records

Reference

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