On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media

Habib Ammari; Hongjie Dong; Hyeonbae Kang; Seick Kim

doi:10.1093/imrn/rnv067

On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media

Habib Ammari, Hongjie Dong, Hyeonbae Kang, Seick Kim

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain pointwise bounds for Green's functions subject to Dirichlet or Neumann condition.

Original language	English
Pages (from-to)	12105-12113
Number of pages	9
Journal	International Mathematics Research Notices
Volume	2015
Issue number	22
DOIs	https://doi.org/10.1093/imrn/rnv067
Publication status	Published - 2015

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© 2015 The Author(s).

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain pointwise bounds for Green's functions subject to Dirichlet or Neumann condition.",

author = "Habib Ammari and Hongjie Dong and Hyeonbae Kang and Seick Kim",

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AU - Ammari, Habib

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AU - Kang, Hyeonbae

AU - Kim, Seick

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JO - International Mathematics Research Notices

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On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media

Abstract

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