Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/9912017,
title = {Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math-ph/9912017},
year = {2007}
}