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Accurate WKB Approximation for a 1D Problem with Low Regularity

Nier, F. — 2008

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20. 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...

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