Lie algebras of formal power series.
Lie Groups and KdV Equations.
Lie symmetries analysis of the shallow water equations.
Lie symmetries and criticality of semilinear differential systems.
Lie symmetry of a class of nonlinear boundary value problems with free boundaries
A class of (1 + 1)-dimensional nonlinear boundary value problems (BVPs), modeling the process of melting and evaporation of solid materials, is studied by means of the classical Lie symmetry method. A new definition of invariance in Lie's sense for BVP is presented and applied to the class of BVPs in question.
Lie transforms and motion of a charged particle in periodic magnetic field.
Lieb–Thirring inequalities on the half-line with critical exponent
We consider the operator in with Dirichlet boundary condition at the origin. For the moments of its negative eigenvalues we prove the bound for any and . This includes a Lieb-Thirring inequality in the critical endpoint case.
Lieb–Thirring inequalities with improved constants
Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one dimension. This allows us to improve on the known estimates of best constants in Lieb–Thirring inequalities for the sum of the negative eigenvalues for multidimensional Schrödinger operators.
Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate.
Liens entre les résonances pour l'opérateur de Dirac et de Schrödinger
Lie-point symmetries in bifurcation problems
Life span of blow-up solutions for higher-order semilinear parabolic equations.
Life span of nonnegative solutions to certain quasilinear parabolic Cauchy problems.
Lifshitz tails for some non monotonous random models
In this talk, we describe some recent results on the Lifshitz behavior of the density of states for non monotonous random models. Non monotonous means that the random operator is not a monotonous function of the random variables. The models we consider will mainly be of alloy type but in some cases we also can apply our methods to random displacement models.
Limit behavior of an oscillating thin layer.
Limit behaviour of singular solutions of some semilinear elliptic equations
Limit behaviour of thin insulating layers around multiconnected domains
Limit of models of compressible fluids. (Limite de modèles de fluides compressibles.)
Limit on the excess negative charge of a dynamic diatomic molecule
Limitations on the control of Schrödinger equations
We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinger equations, review fundamental criteria for controllability and revisit a classical “No-go” result for evolution equations due to Ball, Marsden and Slemrod. In Section 2 we prove corresponding results on non-controllability for the linear Schrödinger equation and distributed additive control, and we show that the Hartree equation of quantum chemistry with bilinear control is not controllable...