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On the Green's function for second order parabolic differential equations with discontinuous coefficients

On the Green's function for second order parabolic differential equations with discontinuous coefficients

du d ( du) Lu s dt d%j dxj for (x, 0 G o r = i2X(0, r ] , where Q is a bounded open simply connected region in E (n^2), T an arbitrary positive number, and the da are assumed only to be bounded and measurable in QT. …