Nonuniqueness of the Solution to the Interior Neumann–Gellerstedt Problem for the Lavrent’ev–Bitsadze Equation
- Authors: Moiseev E.I.1, Moiseev T.E.1, Kholomeeva A.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 237, No 4 (2019)
- Pages: 563-568
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242398
- DOI: https://doi.org/10.1007/s10958-019-04182-4
- ID: 242398
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Abstract
We prove that the homogeneous Neumann–Gellerstedt problem with data on internal characteristics has a nontrivial solution under the Frankl matching condition on the line where the equation changes type.
About the authors
E. I. Moiseev
Lomonosov Moscow State University
Author for correspondence.
Email: cmc@cs.msu.su
Russian Federation, 1, Leninskie Gory, Moscow, 119992
T. E. Moiseev
Lomonosov Moscow State University
Email: cmc@cs.msu.su
Russian Federation, 1, Leninskie Gory, Moscow, 119992
A. A. Kholomeeva
Lomonosov Moscow State University
Email: cmc@cs.msu.su
Russian Federation, 1, Leninskie Gory, Moscow, 119992
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