“Separation of Variables” in the Model Problems of the Diffraction Theory. A Formal Scheme
- Authors: Kazakov A.Y.1
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Affiliations:
- St. Petersburg State University of Industrial Technologies and Design, St. Petersburg State University of Aerospace Instrumentation
- Issue: Vol 243, No 5 (2019)
- Pages: 715-725
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/243146
- DOI: https://doi.org/10.1007/s10958-019-04573-7
- ID: 243146
Cite item
Abstract
The parabolic equation describes the propagation of localized waves along the boundary with singularities. Some reformulation of the “separation of variables” scheme is presented, which enables us to obtain a rich set of solutions of the corresponding boundary value problems.
About the authors
A. Ya. Kazakov
St. Petersburg State University of Industrial Technologies and Design, St. Petersburg State University of Aerospace Instrumentation
Author for correspondence.
Email: a_kazak@mail.ru
Russian Federation, St. Petersburg
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