We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of fairly general type. We furthermore show that the effective Hamiltonian is quasiconvex. This latter result is new even in the periodic setting, despite homogenization being known for quite some time.
Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d / Davini, A.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 64:2(2025). [10.1007/s00526-024-02870-x]
Stochastic homogenization of quasiconvex degenerate viscous HJ equations in 1d
Davini A.
2025
Abstract
We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of fairly general type. We furthermore show that the effective Hamiltonian is quasiconvex. This latter result is new even in the periodic setting, despite homogenization being known for quite some time.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Davini_Stochastic_2025.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
713.29 kB
Formato
Adobe PDF
|
713.29 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
