Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications

Pierre-Louis Lions; Panagiotis E. Souganidis

Displaying similar documents to “Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications”

Homogenization of monotone systems of Hamilton-Jacobi equations

Fabio Camilli, Olivier Ley, Paola Loreti (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

In this paper we study homogenization for a class of monotone systems of first-order time-dependent periodic Hamilton-Jacobi equations. We characterize the Hamiltonians of the limit problem by appropriate cell problems. Hence we show the uniform convergence of the solution of the oscillating systems to the bounded uniformly continuous solution of the homogenized system.

Asymptotic solutions for large time of Hamilton–Jacobi equations in euclidean n space

Hitoshi Ishii (2008)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Variational methods for almost periodic solutions of a class of neutral delay equations.

Ayachi, M., Blot, J. (2008)

Abstract and Applied Analysis

Similarity:

Periodic solutions of dissipative systems revisited.

Andres, Jan, Górniewicz, Lech (2006)

Fixed Point Theory and Applications [electronic only]

Similarity:

Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.

Bisognin, E., Bisognin, V., Coimbra Charão, R., Pazoto, A. F. (2003)

Portugaliae Mathematica. Nova Série

Similarity:

A note on the periodicity of the Lyness max equation.

Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)

Advances in Difference Equations [electronic only]

Similarity:

Existence of positive solutions for some polyharmonic nonlinear equations in $ℝ^{n}$ .

Mâagli, Habib, Zribi, Malek (2006)

Abstract and Applied Analysis

Similarity:

Corrigendum for the comparison theorems in : “A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations”

Mariko Arisawa (2007)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Homogenization of periodic non self-adjoint problems with large drift and potential

Grégoire Allaire, Rafael Orive (2007)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider the homogenization of both the parabolic and eigenvalue problems for a singularly perturbed convection-diffusion equation in a periodic medium. All coefficients of the equation may vary both on the macroscopic scale and on the periodic microscopic scale. Denoting by the period, the potential or zero-order term is scaled as $ε^{- 2}$ and the drift or first-order term is scaled as $ε^{- 1}$ . Under a structural hypothesis on the first cell eigenvalue, which is assumed to admit a unique minimum...