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By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
In this paper, we investigate the homogenization of a nonlinearkinetic equation modeling electron transport in semiconductors. We compute effective scattering coefficients for medium with periodic inh...
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
The k-pair problem in network coding theory asks to send k messages simultaneously between k source-target pairs over a directed acyclic graph. In a previous paper [ICALP 2009, Part I, pages 622–633]...
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t ∼ "−2 one component of ...
The paper deals with joint state and parameter estimation for nonlinear continuous-time systems. Based on a guaranteed LPV approximation, the set adaptive observers design problem is solved avoiding t...
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
Many problems in machine learning and statistics can be formulated as (generalized)eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors amounts to finding crit...
We settle the problem of the uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations @f(z) = H(z, @f(z)). It turns out that the uniqueness holds under definite and explicit bou...
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the drift-diffusion sy...
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation $-u_{tt} + u_{xx} = |u|^{p-1} u$, where $p > 1$. Standard energy methods guar...
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
We investigate the late-time asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws containing stiff source term. On one hand, we determine the relevant asymptotic expa...

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