Analysis of solutions of a noncanonical Hamilton–Jacobi equation using the generalized characteristics method and the Hopf–Lax representations

Miroslaw Luśtyk,Julian Janus,Marzenna Pytel-Kudela,Anatoliy K Prykarpatsky

doi:10.1016/j.na.2009.03.031

Analysis of solutions of a noncanonical Hamilton–Jacobi equation using the generalized characteristics method and the Hopf–Lax representations

Miroslaw Luśtyk, Julian Janus + Show 2 more

https://doi.org/10.1016/j.na.2009.03.031

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Journal: Nonlinear Analysis	Publication Date: Mar 20, 2009
Citations: 11

Affiliation: AGH University of Krakow, Drohobych State Pedagogical University of Ivan Franko

#Hamilton Jacobi Equation #Nonlinear Hamilton Jacobi Equation + Show 6 more

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Abstract

The Cauchy problem for a noncanonical nonlinear Hamilton–Jacobi equation is studied using the method of generalized characteristics. The Hopf–Lax representation and a recent generalization of the Leray–Schauder fixed point theorem also are used to analyze the solutions.

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