Geodesic
Accurate WKB Approximation for a 1D Problem with Low Regularity
Serdica Mathematical Journal, Tome 34 (2008) no. 1, pp. 113-126.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: WKB Method, Low Regularity 
@article{SMJ2_2008_34_1_a4,
     author = {Nier, F.},
     title = {Accurate {WKB} {Approximation} for a {1D} {Problem} with {Low} {Regularity}},
     journal = {Serdica Mathematical Journal},
     pages = {113--126},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2008_34_1_a4/}
}
TY  - JOUR
AU  - Nier, F.
TI  - Accurate WKB Approximation for a 1D Problem with Low Regularity
JO  - Serdica Mathematical Journal
PY  - 2008
SP  - 113
EP  - 126
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2008_34_1_a4/
LA  - en
ID  - SMJ2_2008_34_1_a4
ER  - 
%0 Journal Article
%A Nier, F.
%T Accurate WKB Approximation for a 1D Problem with Low Regularity
%J Serdica Mathematical Journal
%D 2008
%P 113-126
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2008_34_1_a4/
%G en
%F SMJ2_2008_34_1_a4
Nier, F. Accurate WKB Approximation for a 1D Problem with Low Regularity. Serdica Mathematical Journal, Tome 34 (2008) no. 1, pp. 113-126. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_1_a4/