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.
|ホスト出版物のタイトル||Lecture Notes in Mathematics|
|出版ステータス||Published - 2013|
|名前||Lecture Notes in Mathematics|
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