Université de Lorraine

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19932026

most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

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Showing 2013 · math.APShow all

9 papers · 2 filters

math.AP2013

Heat trace asymptotics and compactness of isospectral potentials for the Dirichlet Laplacian

Mourad Choulli, Laurent Kayser, Yavar Kian +1

Let $Ω$ be a $C^{\infty}$ -smooth bounded domain of $R^{n}$ , $n \geq 1$ , and let the matrix $a \in C^{\infty} (Ω; R^{n^{2}})$ be symmetric and uniformly elliptic. We…

math.AP2013★ 4 cited

Generalized PDE estimates for KPZ equations through Hamilton-Jacobi-Bellman formalism

J. Unterberger

We study in this series of articles the Kardar-Parisi-Zhang (KPZ) equation $\partial_{t} h (t, x) = ν Δ h (t, x) + λV (∣\nabla h (t, x) ∣) + D η (t, x), x \in R^{d}$ in $d\…

math.AP2013

Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions

Xinfu Chen, Bendong Lou, Maolin Zhou +1

We study the long time behavior, as $t \to \infty$ , of solutions of $$ \left\{ \begin{array}{ll} u_t = u_{xx} + f(u), & x>0, \ t >0,\\ u(0,t) = b u_x(0,t), & t>0,\\ u(x,0) = u_0 (x)\…

math.AP2013★ 3 cited

PDE estimates for multi-dimensional KPZ equation

Jeremie Unterberger

We study in this series of articles the Kardar-Parisi-Zhang (KPZ) equation $\partial_{t} h (t, x) = ν Δ h (t, x) + λV (∣\nabla h (t, x) ∣) + D η (t, x), x \in R^{d}$ in $d\…

math.AP2013★ 8 cited

Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide

Mourad Choulli, Yavar Kian, Eric Soccorsi

We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solu…

math.AP2013★ 8 cited

Bernstein diffusions for a class of linear parabolic partial differential equations

Pierre-A. Vuillermot, Jean-C. Zambrini

In this article we prove the existence of Bernstein processes which we associate in a natural way with a class of linear parabolic initial-and final boundary value problems defined…