The Goursat and Cauchy problems for three-dimensional Bianchi equation

DOI10.3103/S1066369X20060031zbMath1458.35136OpenAlexW3048306833MaRDI QIDQ2225859

L. B. Mironova, V. I. Zhegalov

Publication date: 11 February 2021

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

Full work available at URL: https://doi.org/10.3103/s1066369x20060031

zbMATH Keywords

Cauchy problemRiemann functionfactorizationGoursat problemsolvability in quadratures

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Solutions to PDEs in closed form (35C05) Boundary value problems for linear higher-order PDEs (35G15)

Cites Work

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• Solvability of the Goursat problem in quadratures
• Initial boundary and inverse problems for the inhomogeneous equation of a mixed parabolic-hyperbolic equation
• The Riemann method for a three-dimensional hyperbolic equation of third order
• Parabolic equations with unknown time-dependent coefficients
• The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficient in parabolic equations with many space variables
• An addition to the cases of solvability of the Goursat problem in quadratures
• Coefficient inverse extremum problems for stationary heat and mass transfer equations

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