On the Keldysh problem for a mixed-type equation with two singular lines

DOI10.3103/S1066369X22020013zbMath1505.35270OpenAlexW4312850021MaRDI QIDQ2112326

A. A. Abashkin

Publication date: 10 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22020013

zbMATH Keywords

existenceirrationality measureFourier-Bessel seriesmixed-type equationsingular coefficientuniqueness criterionsmall denominatorKeldysh problem

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Boundary value problems for PDEs of mixed type (35M12)

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• The inverse problem for an equation of mixed parabolic-hyperbolic type
• Diophantine approximation
• Little \(q\)-Legendre polynomials and irrationality of certain Lambert series.
• On the irrationality measure of \(\ln 7\)
• Dirichlet problem for mixed-type equations in a rectangular domain
• Нелокальная задача для уравнения смешанного типа с сингулярным коэффициентом в области, гиперболическая часть которой - вертикальная полуполоса
• The first boundary-value problem for an equation of mixed type with a singular coefficient
• Задача Дирихле для трехмерного уравнения смешанного типа с тремя сингулярными коэффициентами
• Rational approximations to algebraic numbers
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