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^∞ coefficients

Add 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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.