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arXiv · 1502.01804

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

Habib Ammari·Hongjie Dong·Hyeonbae Kang·Seick Kim
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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.

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Habib Ammari, Hongjie Dong, Hyeonbae Kang, Seick Kim. 2015-02-06. On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media. https://doi.org/10.1093/imrn%2Frnv067

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