  This paper is part of a larger program, the investigation of the Chord
Problem in three dimensional contact geometry. The main tool will be
pseudoholomorphic strips in the symplectisation of a three dimensional contact
manifold with two totally real submanifolds $L_0,L_1$ as boundary conditions.
The submanifolds $L_0$ and $L_1$ do not intersect transversally. The subject of
this paper is to study the asymptotic behavior of such pseudoholomorphic
strips.

Symplectic Geometry;Analysis of PDEs