TY - JOUR
T1 - Elliptic gradient constraint problem
AU - Choe, Hi Jun
AU - Souksomvang, Phoui
N1 - Publisher Copyright:
© 2016, Copyright © Taylor & Francis Group, LLC.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
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.
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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 -