Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions

A. G. Ramm

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arXiv · math-ph/9912017

Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions

A. G. Ramm

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Abstract

Asymptotic formula is derived for the behavior of the fundamental solution of the second-order elliptic self-adjoint operator with a piecewise-smooth coefficient in front of the senior derivatives near the discontinuity surface of the coefficient. Applications to inverse problems are discussed.

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A. G. Ramm. 1999-12-23. Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions. https://arxiv.org/abs/math-ph/9912017

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