Large-time behavior for viscous and nonviscous Hamilton-Jacobi equations forced by additive noise
Reference:
Dirr, N. and Souganidis, P. E., 2005. Large-time behavior for viscous and nonviscous Hamilton-Jacobi equations forced by additive noise. SIAM Journal on Mathematical Analysis (SIMA), 37 (3), pp. 777-796.
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Abstract
We study the large-time behavior of the solutions to viscous and nonviscous Hamilton-Jacobi equations with additive noise and periodic spatial dependence. Under general structural conditions on the Hamiltonian, we show the existence of unique up to constants, global-in-time solutions, which attract any other solution.
Details
| Item Type | Articles |
| Creators | Dirr, N.and Souganidis, P. E. |
| DOI | 10.1137/040611896 |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | Published |
| ID Code | 7168 |
| Additional Information | ID number: ISI:000234288500005 |
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