Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2584

 Title: Accurate WKB Approximation for a 1D Problem with Low Regularity Authors: Nier, F. Keywords: WKB MethodLow Regularity Issue Date: 2008 Publisher: 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. Description: 2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20. URI: http://hdl.handle.net/10525/2584 ISSN: 1310-6600 Appears in Collections: Volume 34, Number 1

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