Viscosity Solutions of Cauchy Problems for Hamilton-Jacobi Equations

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概要

• 論文の詳細を見る

• The viscosity solutions of the Cauchy problem u_t+H(x, u, Du)=0,u(x, 0)=u_0(x) in R^N, where H : R_N×R×R^N→R is a continuous function, are considered. We prove an existence and uniqueness theorem under a condition which is more general than the usual one with respect to the u dependence of the Hamiltonian H(x, u, p). This generalized condition would not necessarily guarantee that the stationary problem u+H(x, u, Du)=ƒ in R^N has a continuous viscosity solution. Our main method is based on the technique from nonlinear semigroup theory.

• 湘南工科大学の論文
• 1994-03-25

著者

• Kobayasi Kazuo

  湘南工科大学工学部教養課程

• Kobayashi Kazuo

  湘南工科大学工学部教養課程

関連論文

• Viscosity Solutions of Cauchy Problems for Hamilton-Jacobi Equations

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