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.
| Original language | English |
|---|---|
| Pages (from-to) | 1918-1933 |
| Number of pages | 16 |
| Journal | Communications in Partial Differential Equations |
| Volume | 41 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2016 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
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Elliptic gradient constraint problem. / Choe, Hi Jun; Souksomvang, Phoui.
In: Communications in Partial Differential Equations, Vol. 41, No. 12, 01.12.2016, p. 1918-1933.Research output: Contribution to journal › Article
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 -