Initial-boundary value problem for a three-dimensional equation of the parabolic-hyperbolic type

DOI10.1134/S0012266121080085zbMath1472.35249OpenAlexW3198157719WikidataQ115249579 ScholiaQ115249579MaRDI QIDQ1982385

K. B. Sabitov, S. N. Sidorov

Publication date: 8 September 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121080085

zbMATH Keywords

small denominatorsseries of orthogonal functions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial-boundary value problems for PDEs of mixed type (35M13) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Inverse problem of finding a factor depending on the spatial variables on the right-hand side in a parabolic-hyperbolic equation ⋮ Tricomi problem for mixed parabolic-hyperbolic equation with higher order boundary condition ⋮ Three-dimensional initial-boundary value problem for a parabolic-hyperbolic equation with a degenerate parabolic part ⋮ Inverse problems for a three-dimensional equation of parabolic-hyperbolic type in finding time-dependent factors of the right-hand sides

Cites Work

• Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
• Initial-boundary value problem for an equation of mixed parabolic-hyperbolic type in a rectangular domain
• An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series
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