Nonuniqueness of the Solution to the Interior Neumann–Gellerstedt Problem for the Lavrent’ev–Bitsadze Equation


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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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