Hopf-Lax type formula for non monotonic autonomous Hamilton Jacobi equations

Adimurthi, ; Veerappa Gowda, G. D. (2004) Hopf-Lax type formula for non monotonic autonomous Hamilton Jacobi equations Nonlinear Differential Equations and Applications, 11 (3). pp. 335-348. ISSN 1021-9722

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/4w64d04cb3adyj...

Related URL: http://dx.doi.org/10.1007/s00030-004-1072-y

Abstract

We give an explicit formula for a solution of Hamilton-Jacobi equation ut+H(u,Du)=0 in Rn×R+ with initial condition u(x,0)=u0(x), where p →H(u,p) is convex, positively homogeneous of degree one and the Hamiltonian H need not satisfy the monotonicity condition in u.

Item Type:Article
Source:Copyright of this article belongs to Birkhauser-Verlag.
Keywords:Hamilton-Jacobi Equation; Viscosity Solution; Explicit Formula
ID Code:12109
Deposited On:10 Nov 2010 04:29
Last Modified:10 May 2011 04:17

Repository Staff Only: item control page