A short introduction to viscosity solutions and the large time behavior of solutions of Hamilton-Jacobi equations

Hitoshi Ishii

doi:10.1007/978-3-642-36433-4-3

A short introduction to viscosity solutions and the large time behavior of solutions of Hamilton-Jacobi equations

Hitoshi Ishii^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

27 Citations (Scopus)

Abstract

We present an introduction to the theory of viscosity solutions of first-order partial differential equations and a review on the optimal control/dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations, with the Neumann boundary condition. This article also includes some of basics of mathematical analysis related to the optimal control/dynamical approach for easy accessibility to the topics.

Original language	English
Title of host publication	Lecture Notes in Mathematics
Pages	111-249
Number of pages	139
Volume	2074
DOIs	https://doi.org/10.1007/978-3-642-36433-4-3
Publication status	Published - 2013

Publication series

Name	Lecture Notes in Mathematics
Volume	2074
ISSN (Print)	00758434

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/978-3-642-36433-4-3

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abstract = "We present an introduction to the theory of viscosity solutions of first-order partial differential equations and a review on the optimal control/dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations, with the Neumann boundary condition. This article also includes some of basics of mathematical analysis related to the optimal control/dynamical approach for easy accessibility to the topics.",

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A short introduction to viscosity solutions and the large time behavior of solutions of Hamilton-Jacobi equations

Abstract

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