Existence of solutions to Hamilton-Jacobi functional differential equations

DOI10.1016/J.NA.2010.04.014zbMath1192.35185OpenAlexW2053075353MaRDI QIDQ984047

Zdzisław Kamont

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.014

zbMATH Keywords

generalized solutionsfunctional differential equationsbicharacteristics

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Partial functional-differential equations (35R10) Applications of operator theory to differential and integral equations (47N20) Weak solutions to PDEs (35D30) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (2)

Differentiability with respect to initial functions of solutions to nonlinear hyperbolic functional differential systems ⋮ A stopping rule for an iterative algorithm in systems of integral equations

Cites Work

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• Sopra i sistemi iperbolici di equazioni a derivate parziali (non lineari) in piu variabili indipendenti
• Hyperbolic functional-differential equations with unbounded delay
• On the mixed problem for quasilinear partial differential-functional equations of the first order
• Existence of generalized solutions of hyperbolic functional-differential equations
• Generalized solutions of quasi-linear hyperbolic systems of partial differential-functional equations
• Generalized solutions of mixed problems for first-order partial functional differential equations
• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
• Observations on quasi-linear partial differential equations
• On the local Cauchy problem for Hamilton Jacobi equations with a functional dependence

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