A Representation for the Second Derivative of the Energy Density Function in Nonlinear Homogenization

Hi Jun Choe; Yong Sun Shim

doi:10.1006/jmaa.1994.1203

A Representation for the Second Derivative of the Energy Density Function in Nonlinear Homogenization

Hi Jun Choe, Yong Sun Shim

Department of Mathematics

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

Abstract

Using the representation formula, the Hölder continuity of the second derivative of the homogenized energy density function in nonlinear homogenization is proved.

Original language	English
Pages (from-to)	326-341
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	184
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1994.1203
Publication status	Published - 1994 Jun 1

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1006/jmaa.1994.1203

Cite this

@article{0b723c8c2b974cc7b4ff937b6c0863e0,

title = "A Representation for the Second Derivative of the Energy Density Function in Nonlinear Homogenization",

abstract = "Using the representation formula, the H{\"o}lder continuity of the second derivative of the homogenized energy density function in nonlinear homogenization is proved.",

author = "Choe, {Hi Jun} and Shim, {Yong Sun}",

year = "1994",

month = jun,

day = "1",

doi = "10.1006/jmaa.1994.1203",

language = "English",

volume = "184",

pages = "326--341",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A Representation for the Second Derivative of the Energy Density Function in Nonlinear Homogenization

AU - Choe, Hi Jun

AU - Shim, Yong Sun

PY - 1994/6/1

Y1 - 1994/6/1

N2 - Using the representation formula, the Hölder continuity of the second derivative of the homogenized energy density function in nonlinear homogenization is proved.

AB - Using the representation formula, the Hölder continuity of the second derivative of the homogenized energy density function in nonlinear homogenization is proved.

UR - http://www.scopus.com/inward/record.url?scp=43949149236&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43949149236&partnerID=8YFLogxK

U2 - 10.1006/jmaa.1994.1203

DO - 10.1006/jmaa.1994.1203

M3 - Article

AN - SCOPUS:43949149236

SN - 0022-247X

VL - 184

SP - 326

EP - 341

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A Representation for the Second Derivative of the Energy Density Function in Nonlinear Homogenization

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this