On the Dirichlet problem in rectangle area for Lavrentiev--Bitsadze equation

A. A. Abashkin

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 3-10.

Résumé

We consider Dirichlet problem in rectangle area for Lavrentiev–Bitsadze equation. We find conditions of problem solution existence. This conditions deoends on ratio of hyperbolicity area rectangle sides. Unlike other stydies of similar problems, we recieve problem solution existence solutions for the case then the ratio is irrational number.

Détail

Keywords: mixed type equation, spectral method, irrationality measure, small denominator
Mots-clés : existence.

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