Contact relative differential invariants for non generic parabolic Monge-Ampère equations

DOI10.1007/s10440-008-9204-8zbMath1154.35004OpenAlexW1989544955MaRDI QIDQ941646

B. E. Eshmatov

Publication date: 2 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9204-8

zbMATH Keywords

Monge-Ampère equationContact transformationParabolic PDERelative differential invariant

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Jets in global analysis (58A20) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Differential invariants (local theory), geometric objects (53A55)

Related Items (6)

Meta-symplectic geometry of \(3^{\mathrm{rd}}\) order Monge-Ampère equations and their characteristics ⋮ Finding solutions of parabolic Monge-Ampère equations by using the geometry of sections of the contact distribution ⋮ Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds ⋮ Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions ⋮ Contact relative differential invariants for non generic parabolic Monge-Ampère equations ⋮ On contact equivalence of Monge-Ampère equations to linear equations with constant coefficients

Cites Work

• Contact relative differential invariants for non generic parabolic Monge-Ampère equations
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Differential invariants of generic hyperbolic Monge-Ampère equations
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