On an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation

DOI10.1134/S001226611710010XzbMath1387.35423OpenAlexW2768705827WikidataQ115250849 ScholiaQ115250849MaRDI QIDQ1701776

N. Yu. Kapustin

Publication date: 27 February 2018

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

Full work available at URL: https://doi.org/10.1134/s001226611710010x

zbMATH Keywords

auxiliary function methodnoncharacteristic type change lineFrankl-type matching condition

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Boundary value problems for PDEs of mixed type (35M12)

Related Items (1)

\(L_2\) solvability of the Tricomi-Neumann problem for a parabolic-hyperbolic equation with degenerate hyperbolic part

Cites Work

• On an inhomogeneous problem for parabolic-hyperbolic equation
• On two spectral problems with the same characteristic equation
• An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series
• Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
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