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University of Birmingham > Talks@bham > Analysis Seminar > The method of layer potentials in L^p and endpoint spaces for elliptic operators with L^∞ coefficients
The method of layer potentials in L^p and endpoint spaces for elliptic operators with L^∞ coefficientsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact José Cañizo. We consider the layer potentials associated with operators L=- div A ∇ acting in the upper half-space Rn+1+, n≥ 2, where the coefficient matrix A is complex, elliptic, bounded, measurable, and t-independent. A “Calderón-Zygmund” theory is developed for the boundedness of the layer potentials under the assumption that solutions of the equation Lu=0 satisfy interior De Giorgi-Nash-Moser type estimates. In particular, we prove that L2 estimates for the layer potentials imply sharp Lp and endpoint space estimates. The method of layer potentials is then used to obtain solvability of boundary value problems. This is joint work with Steve Hofmann and Marius Mitrea. This talk is part of the Analysis Seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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