Elliptic gradient constraint problem

Hi Jun Choe; Phoui Souksomvang

doi:10.1080/03605302.2016.1237962

Elliptic gradient constraint problem

Hi Jun Choe, Phoui Souksomvang

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We study the existence and regularity of gradient constraint problem. It arises in elastoplasticity and finance. First, we consider linear double obstacle problem which comes from viscosity solution to Hamilton–Jacobi equation and find the solution has C^1,α regularity by estimating Campanato-type integral oscillation. Then, by perturbation method and fixed point theorem in C^1,α space, we prove the existence of C^1,α solution.

Original language	English
Pages (from-to)	1918-1933
Number of pages	16
Journal	Communications in Partial Differential Equations
Volume	41
Issue number	12
DOIs	https://doi.org/10.1080/03605302.2016.1237962
Publication status	Published - 2016 Dec 1

Bibliographical note

Publisher Copyright:
© 2016, Copyright © Taylor & Francis Group, LLC.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1080/03605302.2016.1237962

Fingerprint Dive into the research topics of 'Elliptic gradient constraint problem'. Together they form a unique fingerprint.

Cite this

@article{6a5646d7298b4b14bf2f57f947caa404,

title = "Elliptic gradient constraint problem",

abstract = "We study the existence and regularity of gradient constraint problem. It arises in elastoplasticity and finance. First, we consider linear double obstacle problem which comes from viscosity solution to Hamilton–Jacobi equation and find the solution has C1,α regularity by estimating Campanato-type integral oscillation. Then, by perturbation method and fixed point theorem in C1,α space, we prove the existence of C1,α solution.",

author = "Choe, {Hi Jun} and Phoui Souksomvang",

note = "Publisher Copyright: {\textcopyright} 2016, Copyright {\textcopyright} Taylor & Francis Group, LLC.",

year = "2016",

month = dec,

day = "1",

doi = "10.1080/03605302.2016.1237962",

language = "English",

volume = "41",

pages = "1918--1933",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

number = "12",

}

TY - JOUR

T1 - Elliptic gradient constraint problem

AU - Choe, Hi Jun

AU - Souksomvang, Phoui

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We study the existence and regularity of gradient constraint problem. It arises in elastoplasticity and finance. First, we consider linear double obstacle problem which comes from viscosity solution to Hamilton–Jacobi equation and find the solution has C1,α regularity by estimating Campanato-type integral oscillation. Then, by perturbation method and fixed point theorem in C1,α space, we prove the existence of C1,α solution.

AB - We study the existence and regularity of gradient constraint problem. It arises in elastoplasticity and finance. First, we consider linear double obstacle problem which comes from viscosity solution to Hamilton–Jacobi equation and find the solution has C1,α regularity by estimating Campanato-type integral oscillation. Then, by perturbation method and fixed point theorem in C1,α space, we prove the existence of C1,α solution.

UR - http://www.scopus.com/inward/record.url?scp=84995593535&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995593535&partnerID=8YFLogxK

U2 - 10.1080/03605302.2016.1237962

DO - 10.1080/03605302.2016.1237962

M3 - Article

AN - SCOPUS:84995593535

VL - 41

SP - 1918

EP - 1933

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

IS - 12

ER -

Elliptic gradient constraint problem

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this