Let L = −div(A∇) be a second order divergence form elliptic operator, and A be an accretive, n×n matrix with bounded measurable complex coefficients in ℝn. We obtain the Lp bounds for the commutator generated by the Kato square root \\(\\sqrt L \\) and a Lipschitz function...
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Find the smallest possible value of the integral I[y(x)] = \int^2 _1 (xy')^2 dx of a function y(x) which satisfies y(1) = 9 and y(2) = 2. 1. Find A and B given that the function y=Ax+Bx has a minimum value of 54 at x = 81. 2. Find the...
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