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
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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 |
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