Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 34, No 1, (2008), 113p-126p
Abstract:
This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value
Schrodinger equation with a non smooth potential. The assumed regularity
of the potential is the one coming from a non linear problem and seems to be
the critical one for which a good exponential decay estimate can be proved
for the first remainder term. The treatment of the boundary conditions
brings also some interesting subtleties which require a careful application of
Carleman’s method.
