Geodesic
Accurate WKB Approximation for a 1D Problem with Low Regularity
Serdica Mathematical Journal, Tome 34 (2008) no. 1, pp. 113-126 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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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 
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     author = {Nier, F.},
     title = {Accurate {WKB} {Approximation} for a {1D} {Problem} with {Low} {Regularity}},
     journal = {Serdica Mathematical Journal},
     pages = {113--126},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2008_34_1_a4/}
}
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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/