Adimurthi, ; Veerappa Gowda, G. D. (2000) Formula for a solution of ut + H(u,Du) = g Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 110 (4). pp. 393-414. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/mathsci/vol110/nov2000/Pm1794...
Related URL: http://dx.doi.org/10.1007/BF02829534
Abstract
We study the continuous as well as the discontinuous solutions of Hamilton-Jacobi equation ut + H(u,Du) = g in Rn × R+ with u(x, 0) = u0(x). The Hamiltonian H(s,p) is assumed to be convex and positively homogeneous of degree one in p for each s in R. If H is non increasing in s, in general, this problem need not admit a continuous viscosity solution. Even in this case we obtain a formula for discontinuous viscosity solutions.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Hamilton-Jacobi Equation; Dynamic Programming Principle; Viscosity Sub and Super Solutions |
ID Code: | 12087 |
Deposited On: | 10 Nov 2010 04:41 |
Last Modified: | 16 May 2016 21:29 |
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