Sharpening an a priori estimate of the solution of a well-known problem for a parabolic-hyperbolic equation

DOI10.1134/S1064562409040280zbMath1190.35166OpenAlexW1998982597MaRDI QIDQ845161

N. Yu. Kapustin, E. I. Moiseev

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562409040280

zbMATH Keywords

parabolic-hyperbolic equationTricomi problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Boundary value problems for PDEs of mixed type (35M12)

Related Items (1)

Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients

Cites Work

• 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

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