Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients

Ji Guang Bao; Hai Gang Li; Yan Yan Li

doi:10.1007/s00205-014-0779-0

Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients

Ji Guang Bao, Hai Gang Li, Yan Yan Li

School of Arts and Sciences, Mathematics

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

37 Scopus citations

Abstract

We establish upper bounds on the blow up rate of the gradients of solutions of the Lamé system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.

Original language	English (US)
Pages (from-to)	307-351
Number of pages	45
Journal	Archive For Rational Mechanics And Analysis
Volume	215
Issue number	1
DOIs	https://doi.org/10.1007/s00205-014-0779-0
State	Published - Jan 2014

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/s00205-014-0779-0

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title = "Gradient Estimates for Solutions of the Lam{\'e} System with Partially Infinite Coefficients",

abstract = "We establish upper bounds on the blow up rate of the gradients of solutions of the Lam{\'e} system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.",

author = "Bao, {Ji Guang} and Li, {Hai Gang} and Li, {Yan Yan}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2014",

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doi = "10.1007/s00205-014-0779-0",

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Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients

Abstract

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