On representation formula for solutions of Hamilton‐Jacobi equation for some types of initial conditions

This article investigates the representation formula for the semiconcave solutions of the Cauchy problem for Hamilton‐Jacobi equation with the convex Hamiltonian and the unbounded lower semicontinous initial function. The formula like Hopf ‘s formula is given by forming envelope of some fundamental...

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Bibliographic Details
Main Author: G. Gudynas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2001-12-01
Series:Mathematical Modelling and Analysis
Subjects:
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Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9910