On the Hamilton-Jacobi equation in the framework of generalized functions

DOI10.1016/j.jmaa.2011.04.069zbMath1228.35089OpenAlexW2001149067MaRDI QIDQ549783

Roseli Fernandez

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.069

zbMATH Keywords

existenceuniquenessmethod of characteristics

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Initial value problems for nonlinear first-order PDEs (35F25) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Hamilton-Jacobi equations (35F21)

Related Items

On the Hilbert transform in the framework of generalized functions ⋮ Ordinary Differential Equations in Algebras of Generalized Functions ⋮ Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Foundations of the calculus of variations in generalized function algebras
• The Hamilton-Jacobi equation. A global approach
• Intrinsic definition of the Colombeau algebra of generalized functions
• Generalized solutions to Cauchy problems
• Generalized solutions to nonlinear first-order systems
• Generalized solutions to partial differential equations of evolution type
• Algebraic and Geometric Theory of the Topological Ring of Colombeau Generalized Functions
• Borel's theorem for generalized functions
• Composition and invertibility for a class of generalized functions in the Colombeau's theory
• A contribution to the theory of generalized functions