Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions
classification
🧮 math-ph
math.APmath.MP
keywords
coefficientellipticfundamentalseniorsolutionsapplicationsasymptoticbehavior
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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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