Local smooth solution and non-relativistic limit of radiation hydrodynamics equations.
Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem
We consider the problemwhere is a smooth and bounded domain,
Lokale Abschätzungen und Randverhalten von Lösungen elliptischer Monge-Ampèrescher Gleichungen.
Lokale Kerne und beschränkte Lösungen für den ...-Operator auf q-konvexen Gebieten.
Long time dynamics for the one dimensional non linear Schrödinger equation
In this article, we first present the construction of Gibbs measures associated to nonlinear Schrödinger equations with harmonic potential. Then we show that the corresponding Cauchy problem is globally well-posed for rough initial conditions in a statistical set (the support of the measures). Finally, we prove that the Gibbs measures are indeed invariant by the flow of the equation. As a byproduct of our analysis, we give a global well-posedness and scattering result for the critical and super-critical...
Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge.
Lower bounds for pseudo-differential operators
Lp estimates for degenerate elliptic equations.
In this note we are going to address the question of when a second order differential operator is controlled by a subelliptic second order differential operator.
Lp - Lp'-Estimates for Fourier Integral Operators Related to Hyperbolic Equations.
Lp-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I.
Lq - Lr estimates for solutions of the nonstationary Stokes equations in an exterior domain and the Navier-Stokes initial value problems in Lq spaces.
Lyapunov functions and -estimates for a class of reaction-diffusion systems
We give a sufficient condition for the existence of a Lyapunov function for the system aₜ = ∇(k(a,c)∇a - h(a,c)∇c), x ∈ Ω, t > 0, , x ∈ Ω, t > 0, for , completed with either a = c = 0, or ∂a/∂n = ∂c/∂n = 0, or k(a,c) ∂a/∂n = h(a,c) ∂c/∂n, c = 0 on ∂Ω × t > 0. Furthermore we study the asymptotic behaviour of the solution and give some uniform -estimates.