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Hopf-Lax-Oleinik-type estimates for viscosity solutions to Hamilton-Jacobi equations with concave-convex data

Authors: Trần Đức Vân, Nguyễn Duy Thái Sơn,

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Publisher, magazine: ,

Publication year: 2006

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Abstract

We consider the Cauchy problem to Hamilton-Jacobi equations with either concave-convex Hamiltonian or concave-convex initial data and investigate their explicit viscosity solutions in connection with Hopf-Lax-Oleinik-type estimates.

Tags: concave-convex Hamiltonian; concave-convex initial data

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