Hopf-Lax-Oleinik-type formulas for viscosity solutions to some Hamilton-Jacobi equations
type: Item
instance of: scholarly article
title: Hopf-Lax-Oleinik-type formulas for viscosity solutions to some Hamilton-Jacobi equations
zbMATH Open document ID: 1091.35020
author: Tran Duc Van
published in: Vietnam Journal of Mathematics
publication date: 2005-05-06T00:00:00Z
review text: This paper is a survey of results on Hopf-Lax-Oleinik type and explicit formulas of \[ \begin{aligned} u_t+H(t,u,Du)=0&\quad\text{in } \{t>0,x\in\mathbb{R}^n\},\\ u(0,x)=\phi(x)&\quad\text{on } \{t=0,x\in\mathbb{R}^n\}, \end{aligned} \] \noindent obtained by the author and collaborators in some recent papers. See for instance Adv. Math. Sci. Appl. 10, No. 1, 239--264 (2000; Zbl 0961.35026) and Vietnam J. Math. 26, No. 4, 385--389 (1998; Zbl 0967.35028).
reviewed by: Fabio Bagagiolo
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 2166017
zbMATH Keywords: explicit representation of solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2166017