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arxiv: 1502.01804 · v1 · pith:IIK6PP7Tnew · submitted 2015-02-06 · 🧮 math.AP

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

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keywords arisingellipticequationimaginginhomogeneousmediaphoto-acousticbounds
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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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