Geodesic
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 3, pp. 571-591
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We prove that the effective nonlinearities (ergodic constants) obtained in the stochastic homogenization of Hamilton–Jacobi, “viscous” Hamilton–Jacobi and nonlinear uniformly elliptic pde are approximated by the analogous quantities of appropriate “periodizations” of the equations. We also obtain an error estimate, when there is a rate of convergence for the stochastic homogenization.

@article{AIHPC_2015__32_3_571_0,
     author = {Cardaliaguet, Pierre and Souganidis, Panagiotis E.},
     title = {Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {571--591},
     year = {2015},
     publisher = {Elsevier},
     volume = {32},
     number = {3},
     doi = {10.1016/j.anihpc.2014.01.007},
     mrnumber = {3353701},
     zbl = {1320.35040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.01.007/}
}
TY  - JOUR
AU  - Cardaliaguet, Pierre
AU  - Souganidis, Panagiotis E.
TI  - Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2015
SP  - 571
EP  - 591
VL  - 32
IS  - 3
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.01.007/
DO  - 10.1016/j.anihpc.2014.01.007
LA  - en
ID  - AIHPC_2015__32_3_571_0
ER  - 
%0 Journal Article
%A Cardaliaguet, Pierre
%A Souganidis, Panagiotis E.
%T Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
%J Annales de l'I.H.P. Analyse non linéaire
%D 2015
%P 571-591
%V 32
%N 3
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2014.01.007/
%R 10.1016/j.anihpc.2014.01.007
%G en
%F AIHPC_2015__32_3_571_0
Cardaliaguet, Pierre; Souganidis, Panagiotis E. Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 3, pp. 571-591. doi: 10.1016/j.anihpc.2014.01.007

Cité par Sources :