Localization effects for eigenfunctions near to the edge of a thin domain
Localized radial solutions for a nonlinear -Laplacian equation in .
Localized solutions of elliptic equations: loitering at the hilltop.
Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem
We consider the problemwhere is a smooth and bounded domain,
Location of resonances generated by degenerate potential barrier.
Locking effects in the finite element approximation of elasticity problems.
Logistic equation with the -Laplacian and constant yield harvesting.
Lokale Abschätzungen und Randverhalten von Lösungen elliptischer Monge-Ampèrescher Gleichungen.
Long-time behavior of small solutions to quasilinear dissipative hyperbolic equations
We give sufficient conditions for the existence of global small solutions to the quasilinear dissipative hyperbolic equation corresponding to initial values and source terms of sufficiently small size, as well as of small solutions to the corresponding stationary version, i.e. the quasilinear elliptic equation We then give conditions for the convergence, as , of the solution of the evolution equation to its stationary state.
Lösung der Dirichletproblems und Konvergenz der Differenzenapproximation für elliptische Differentialgleichungen zweiter Ordnung.
Lösung des Dirichlet Problems bei Jordangebieten mit analytischem Rand durch Interpolation.
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...
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
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.
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.