Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian

Yash Jhaveri; Robin Neumayer

doi:10.1016/j.aim.2017.03.006

Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian

Yash Jhaveri, Robin Neumayer^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack estimate.

Original language	English (US)
Pages (from-to)	748-795
Number of pages	48
Journal	Advances in Mathematics
Volume	311
DOIs	https://doi.org/10.1016/j.aim.2017.03.006
State	Published - Apr 30 2017

Keywords

Boundary Harnack estimate
Fractional Laplacian
Free boundary problems

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2017.03.006

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title = "Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian",

abstract = "We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack estimate.",

keywords = "Boundary Harnack estimate, Fractional Laplacian, Free boundary problems",

author = "Yash Jhaveri and Robin Neumayer",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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day = "30",

doi = "10.1016/j.aim.2017.03.006",

language = "English (US)",

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T1 - Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian

AU - Jhaveri, Yash

AU - Neumayer, Robin

PY - 2017/4/30

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N2 - We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack estimate.

AB - We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack estimate.

KW - Boundary Harnack estimate

KW - Fractional Laplacian

KW - Free boundary problems

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JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian

Abstract

Keywords

ASJC Scopus subject areas

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