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8 papers · 2 filters
Homogenization of a singular random one dimensional parabolic PDE with time varying coefficients
E. Pardoux, A. Piatnitski
The paper studies homogenization problem for a non-autonomous parabolic equation with a large random rapidly oscillating potential in the case of one dimensional spatial variable.…
Fractional Poincaré inequalities for general measures
Clément Mouhot, Emmanuel Russ, Yannick Sire
We prove a fractional version of Poincaré inequalities in the context of endowed with a fairly general measure. Namely we prove a control of an norm by a non local qua…
Simultaneous Identification of the Diffusion Coefficient and the Potential for the Schrödinger Operator with only one Observation
Laure Cardoulis, Patricia Gaitan
This article is devoted to prove a stability result for two independent coefficients for a Schrödinger operator in an unbounded strip. The result is obtained with only one observat…
Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media
Mohammad El Smaily
This paper is concerned with some nonlinear propagation phenomena for reaction-advection-diffusion equations in a periodic framework. It deals with travelling wave solutions of the…
Fast propagation for KPP equations with slowly decaying initial conditions
Francois Hamel, Lionel Roques
This paper is devoted to the analysis of the large-time behavior of solutions of one-dimensional Fisher-KPP reaction-diffusion equations. The initial conditions are assumed to be g…
Divergence operator and Poincare inequalities on arbitrary bounded domains
Ricardo Duran, Maria-Amelia Muschietti, Emmanuel Russ +1
Let be an arbitrary bounded domain of . We study the right invertibility of the divergence on in weighted Lebesgue and Sobolev spaces on , and rely this invertibil…