Low regularity and local well-posedness for the dimensional Dirac-Klein-Gordon system.
Low regularity Cauchy theory for the water-waves problem: canals and swimming pools
The purpose of this talk is to present some recent results about the Cauchy theory of the gravity water waves equations (without surface tension). In particular, we clarify the theory as well in terms of regularity indexes for the initial conditions as fin terms of smoothness of the bottom of the domain (namely no regularity assumption is assumed on the bottom). Our main result is that, following the approach developed in [1, 2], after suitable para-linearizations, the system can be arranged into...
Low regularity solutions for Dirac-Klein-Gordon equations in one space dimension.
Low regularity solutions of the Chern-Simons-Higgs equations in the Lorentz gauge.
Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system.
Low Volatility Options and Numerical Diffusion of Finite Difference Schemes
2000 Mathematics Subject Classification: 65M06, 65M12.In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and low volatility options. Discontinuities in the initial conditions require applying nonstandard non-oscillating finite difference schemes such as the exponentially fitted finite difference schemes suggested by D. Duffy and the Crank-Nicolson variant...
Low-Dimensional Description of Pulses under the Action of Global Feedback Control
The influence of a global delayed feedback control which acts on a system governed by a subcritical complex Ginzburg-Landau equation is considered. The method based on a variational principle is applied for the derivation of low-dimensional evolution models. In the framework of those models, one-pulse and two-pulse solutions are found, and their linear stability analysis is carried out. The application of the finite-dimensional model allows to reveal...
Lower and upper bounds for the Rayleigh conductivity of a perforated plate
Lower and upper bounds for the Rayleigh conductivity of a perforation in a thick plate are usually derived from intuitive approximations and by physical reasoning. This paper addresses a mathematical justification of these approaches. As a byproduct of the rigorous handling of these issues, some improvements to previous bounds for axisymmetric holes are given as well as new estimates for tilted perforations. The main techniques are a proper use of the Dirichlet and Kelvin variational principlesin...
Lower bounds for pseudo-differential operators
Lower bounds for pseudo-differential operators
Lower bounds for pseudo-differential operators
This paper contains some new results on lower bounds for pseudo-differential operators whose symbols do not remain positive. Non-negativity of averages of the symbol on canonical images of the unit ball is sufficient to get a Gårding type inequality for Schrödinger operators with magnetic potential and one dimensional pseudo-differential operators.
Lower bounds for Schrödinger equations
Lower bounds for Schrödinger operators in H¹(ℝ)
We prove trace inequalities of type where , under suitable hypotheses on the sequences and , with the first sequence increasing and the second bounded.
Lower bounds for the infimum of the spectrum of the Schrödinger operator in and the Sobolev inequalities.
Low-Frequency electromagnetic scattering theory for a dielectric
LP and Lipschitz Estimates for the ... Equation and the ...-Neumann Problem.
Lp bounds for Riesz transforms and square roots associated to second order elliptic 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 estimates of boundary integral equations for some nonlinear boundary value problems.
Lp - Lp'-Estimates for Fourier Integral Operators Related to Hyperbolic Equations.