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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} | 
