Multivalued solutions of hyperbolic Monge-Ampère equations: solvability, integrability, approximation

DOI10.1070/SM9171zbMath1439.35331OpenAlexW2984424906MaRDI QIDQ5112434

D. V. Tunitskii

Publication date: 29 May 2020

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

Full work available at URL: https://doi.org/10.1070/sm9171

zbMATH Keywords

quasilinear equationsdifference approximationmaximal solutionsgradient blowupcomplete solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Pfaffian systems (58A17) First-order nonlinear hyperbolic equations (35L60) Blow-up in context of PDEs (35B44)

Cites Work

• Partial differential equations. 1: Basic theory
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Differential Topology
• On the global solubility of the Monge-Ampere hyperbolic equations
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Exact Solution for the Vibrations of a Nonlinear Continuous Model String
• On Hyperbolic Partial Differential Equations
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