The first boundary-value problem for an equation of mixed type with a singular coefficient

DOI10.1070/IM8596zbMath1392.35197OpenAlexW2801917425MaRDI QIDQ4568551

R. M. Safina, K. B. Sabitov

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1070/im8596

zbMATH Keywords

Dirichlet problemorthogonal seriessmall denominatorsKeldysh problem

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (11)

Reverse problem to find right parts mixed equations with the Chaplygin operator ⋮ On a problem with shift on pieces of boundary characteristics for the Gellerstedt equation with singular coefficients ⋮ On the Dirichlet problem in rectangular domain for Lavrentiev-Bitsadze equation ⋮ Dirichlet problem in parallelepiped for elliptic equation with three singular coefficients ⋮ The second initial-boundary value problem for a \(B\)-hyperbolic equation ⋮ On the uniform convergence of the expansion of a function in the Fourier-Bessel range ⋮ Boundary value problem for a mixed-type equation with singular coefficients ⋮ Dirichlet problems for mixed-type equations with fractional derivatives ⋮ Dirichlet problem for mixed type equation with characteristic degeneration and singular coefficient ⋮ First initial-boundary value problem for \(B\)-hyperbolic equation ⋮ On the Keldysh problem for a mixed-type equation with two singular lines

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
• The inverse problem for an equation of mixed parabolic-hyperbolic type
• The Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain
• Dirichlet problem for equations of mixed type in a half-strip
• Solution of the Tricomi problem for an equation of mixed type with a singular coefficient by means of the spectral method
• Dirichlet problem for mixed-type equations in a rectangular domain
• A Dirichlet problem for an equation of mixed type with a discontinuous coefficient
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