La transformation de Fourier portative
Lambert multipliers between spaces
In this paper Lambert multipliers acting between spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.
Lambert multipliers of the range of composition operators
L’analogue dans des théorèmes de convexité de M. Riesz et G.O. Thorin
L’analogue dans des théorèmes de convexité de M. Riesz et G. O. Thorin
Lanczos-like algorithm for the time-ordered exponential: The -inverse problem
The time-ordered exponential of a time-dependent matrix is defined as the function of that solves the first-order system of coupled linear differential equations with non-constant coefficients encoded in . The authors have recently proposed the first Lanczos-like algorithm capable of evaluating this function. This algorithm relies on inverses of time-dependent functions with respect to a non-commutative convolution-like product, denoted by . Yet, the existence of such inverses, crucial to...
Landesman-Lazer-Alternative Theorems for a Class of Nonlinear Functional Equations.
Laplace transform generation theorems and local Cauchy problems.
Laplace transform identities for diffusions, with applications to rebates and barrier options
We start with a general time-homogeneous scalar diffusion whose state space is an interval I ⊆ ℝ. If it is started at x ∈ I, then we consider the problem of imposing upper and/or lower boundary conditions at two points a,b ∈ I, where a < x < b. Using a simple integral identity, we derive general expressions for the Laplace transform of the transition density of the process, if killing or reflecting boundaries are specified. We also obtain a number of useful expressions for the Laplace transforms...
Laplace Transforms and ...-Times Integrated Semigroups.
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes.
Large norm solutions to nonlinear elliptic problems
Large time behavior of the heat kernel: the parabolic ...-potential alternative.
Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case
We study the large time behaviour of the solutions of a nonlocal regularisation of a scalar conservation law. This regularisation is given by a fractional derivative of order , with , which is a Riesz-Feller operator. The nonlinear flux is given by the locally Lipschitz function for . We show that in the sub-critical case, , the large time behaviour is governed by the unique entropy solution of the scalar conservation law. Our proof adapts the proofs of the analogous results for the local...
Large time regular solutions to the MHD equations in cylindrical domains
We prove the large time existence of solutions to the magnetohydrodynamics equations with slip boundary conditions in a cylindrical domain. Assuming smallness of the L₂-norms of the derivatives of the initial velocity and of the magnetic field with respect to the variable along the axis of the cylinder, we are able to obtain an estimate for the velocity and the magnetic field in without restriction on their magnitude. Then the existence follows from the Leray-Schauder fixed point theorem.
Large Toeplitz operators and quadratic form generated by stationary Gaussian sequence.
Lasry-Lions regularization and a lemma of Ilmanen
L'asymptotique des valeurs propres pour l'opérateur de Schrödinger avec un potentiel périodique perturbé
Layer potentials C*-algebras of domains with conical points
To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups, and prove Fredholm...
Layer potentials on boundaries with corners and edges