Dear all

Professor Nicolas Lerner from University of Paris 6 is now visiting Morningside Center.

His office is MCM 608. He will stay here till July 17. The following is the detailed

information of his lecture series:

Title: CARLEMAN ESTIMATES AND APPLICATIONS

Speaker: Professor Nicolas Lerner

From: Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris VI)

Time: 3:00-5:00, July 7;

         3:00-5:00, July 9;

         3:00-5:00 July 14;

         3:00-5:00, July 16.

Place: Morningside 410

First lecture,   two hours, Introduction

\subsection{Well-posedness, Ill-posedness}

\subsection{Carleman's method, example of the dbar}

Second lecture,  two hours, Cald\'eron's and H\"ormander's results

\subsection{Simple characteristics, Cald\'eron's theorem}

\subsection{Pseudoconvexity, H\"ormander's theorem}

Third lecture,  two hours

\subsection{Elliptic operators with jumps, J.~Le  Rousseau-N.~Lerner}

\subsection{Conditional pseudoconvexity, A.~Ionescu-S.~Klainerman}

Fourth lecture,  two hours, open problems

\subsection{Transversal characteristic hypersurfaces}

\subsection{BV jumps for elliptic operators}

\subsection{Strong unique continuation  for elliptic operators with BV jumps}

\subsection{Weak pseudo-convexity}

\subsection{Counterexamples for real potentials }

\subsection{Complex operators}

All are wellcome! With the best regards Zhang Ping