Regularity for convex viscosity solutions of special Lagrangian equation

Jingyi Chen; Ravi Shankar; Yu Yuan

doi:10.1002/cpa.22130

Regularity for convex viscosity solutions of special Lagrangian equation

Jingyi Chen, Ravi Shankar, Yu Yuan

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

6 Scopus citations

Abstract

We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

Original language	English (US)
Pages (from-to)	4075-4086
Number of pages	12
Journal	Communications on Pure and Applied Mathematics
Volume	76
Issue number	12
DOIs	https://doi.org/10.1002/cpa.22130
State	Published - Dec 2023
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.22130

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title = "Regularity for convex viscosity solutions of special Lagrangian equation",

abstract = "We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.",

author = "Jingyi Chen and Ravi Shankar and Yu Yuan",

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year = "2023",

month = dec,

doi = "10.1002/cpa.22130",

language = "English (US)",

volume = "76",

pages = "4075--4086",

journal = "Communications on Pure and Applied Mathematics",

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T1 - Regularity for convex viscosity solutions of special Lagrangian equation

AU - Chen, Jingyi

AU - Shankar, Ravi

AU - Yuan, Yu

PY - 2023/12

Y1 - 2023/12

N2 - We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

AB - We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

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U2 - 10.1002/cpa.22130

DO - 10.1002/cpa.22130

M3 - Article

AN - SCOPUS:85165471292

SN - 0010-3640

VL - 76

SP - 4075

EP - 4086

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 12

ER -

Regularity for convex viscosity solutions of special Lagrangian equation

Abstract

All Science Journal Classification (ASJC) codes

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