Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$

S. Yu. Dobrokhotov ; V. E. Nazaikinskii

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 83-99.

Résumé

We express the asymptotic eigenfunctions of the operator $-\frac{d}{dx}D(x)\frac{d}{dx}$ that degenerates at the endpoints of an interval in terms of the modified Maslov canonical operator introduced in our previous studies.

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