An introduction to completely exceptional second order scalar partial differential equations

DOI10.4064/bc113-0-15zbMath1400.35010OpenAlexW2789384478MaRDI QIDQ4634630

Giovanni Moreno

Publication date: 10 April 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc113-0-15

zbMATH Keywords

Monge-Ampère equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Grassmannians, Schubert varieties, flag manifolds (14M15) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for second-order hyperbolic equations (35L15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (1)

The moment map on the space of symplectic 3D Monge-Ampère equations

Cites Work

• Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
• Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution
• Exceptionality condition and linearization procedure for a third order nonlinear PDE
• Linearizable second order Monge-Ampère equations
• The geometry of the space of Cauchy data of nonlinear PDEs
• Characteristics, bicharacteristics and geometric singularities of solutions of PDEs
• Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE
• Classification of Monge–Ampeère Equations
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