Parabolic perturbations of Hamilton–Jacobi equations
Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 299-303
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.
@article{10_4064_fm_157_2_3_299_303,
author = {Ya. Sinai},
title = {Parabolic perturbations of {Hamilton{\textendash}Jacobi} equations},
journal = {Fundamenta Mathematicae},
pages = {299--303},
publisher = {mathdoc},
volume = {157},
number = {2},
year = {1998},
doi = {10.4064/fm-157-2-3-299-303},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-157-2-3-299-303/}
}
TY - JOUR AU - Ya. Sinai TI - Parabolic perturbations of Hamilton–Jacobi equations JO - Fundamenta Mathematicae PY - 1998 SP - 299 EP - 303 VL - 157 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-157-2-3-299-303/ DO - 10.4064/fm-157-2-3-299-303 LA - fr ID - 10_4064_fm_157_2_3_299_303 ER -
Ya. Sinai. Parabolic perturbations of Hamilton–Jacobi equations. Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 299-303. doi: 10.4064/fm-157-2-3-299-303
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