Equations with Discontinuous Senior Coefficients and an Inequality for These Solutions
نویسنده
چکیده
Let Lu := ∇ · (a(x)∇u) = −δ(x − y) in R 3 , 0 < c 1 ≤ a(x) ≤ c 2 , a(x) is a piecewise-smooth function with the discontinuity surface S which is smooth. It is proved that in a neighborhood of S the behavior of the function u is given by the formula:
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