On the solution of a boundary-value problem for a third-order equation with multiple characteristics

DOI10.1007/s11253-012-0625-1zbMath1258.35064OpenAlexW2094814672MaRDI QIDQ1933305

Yanyan Li

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0625-1

zbMATH Keywords

Green functionsmethod of energy integrals

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (15)

Boundary-value problem for a degenerate high-odd-order equation ⋮ A stable difference scheme for a third-order partial differential equation ⋮ Numerical algorithm for the third-order partial differential equation with local boundary conditions ⋮ Solution of the boundary value problem for a third order equation with little terms. Construction of the Green's function ⋮ Boundary-value problem for the fourth-order equation with multiple characteristics in a rectangular domain ⋮ Boundary value problem for an inhomogeneous fourth-order equation with lower-order terms ⋮ On a problem for a fourth-order equation with multiple characteristics containing the third time derivate ⋮ Construction of the solution of a boundary-value problem for the third-order equation with lower terms with the help of the Green function ⋮ On a boundary-value problem for a fourth-order partial integro-differential equation with degenerate kernel ⋮ Unnamed Item ⋮ Boundary value problem for third order partial integro-differential equation with a degenerate kernel ⋮ BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER DEGENERATE EQUATION ⋮ ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION ⋮ Third boundary-value problem for a third-order differential equation with multiple characteristics ⋮ Boundary value problem for a fourth-order equation of the parabolic-hyperbolic type with multiple characteristics with slopes greater than one

Cites Work

• Potenziali di linea e di dominio per equazioni non paraboliche in due variabili a caratteristiche multiple
• On the theory of the third-order equation with multiple characteristics containing the second time derivative
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