Adimurthi, . ; Gowda, G. D. Veerappa (2000) Formula for a solution ofu t +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://doi.org/10.1007/BF02829534
Related URL: http://dx.doi.org/10.1007/BF02829534
Abstract
We study the continuous as well as the discontinuous solutions of Hamilton-Jacobi equationu t +H(u,Du) =g in ℝ n x ℝ+ withu(x, 0) =u 0(x). The HamiltonianH(s,p) is assumed to be convex and positively homogeneous of degree one inp for eachs in ℝ. IfH is non increasing ins, 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 |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| ID Code: | 119761 |
| Deposited On: | 16 Jun 2021 16:06 |
| Last Modified: | 16 Jun 2021 16:06 |
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