Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative

DOI10.1134/S0001434614070256zbMath1316.35209MaRDI QIDQ2342360

Ilgar G. Mamedov

Publication date: 11 May 2015

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

zbMATH Keywords

Sobolev spaceVolterra integral equation

Mathematics Subject Classification ID

Boundary value problems for PDEs of mixed type (35M12)

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Optimal control problem for Bianchi equation in variable exponent Sobolev spaces ⋮ Метод Римана для уравнений с доминирующей частной производной

Cites Work

• Problem with displacements for the three-dimensional Bianchi equation
• One Goursat problem in a Sobolev space
• Construction of the Riemann function for the Bianchi equation in an \(n\)-dimensional space
• On the construction of the Riemann function for an equation with leading fifth partial derivative
• The Riemann method for a three-dimensional hyperbolic equation of third order
• The Goursat problem for a three-dimensional equation with higher derivative
• Pseudoparabolic equation of the third order
• The influence of lower terms on the well-posedness of the formulation of characteristic problems for third-order hyperbolic equations.
• The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind
• A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation
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