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

Habib Ammari, Hongjie Dong, Hyeonbae Kang, Seick Kim

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)12105-12113
Number of pages9
JournalInternational Mathematics Research Notices
Volume2015
Issue number22
DOIs
Publication statusPublished - 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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