2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58464Asymptotic 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.Mathematical PhysicsAnalysis of PDEs35R30Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutionstext