Search results for "Operator"

Equivalence of viscosity and weak solutions for the normalized $p(x)$-Laplacian

2018

We show that viscosity solutions to the normalized $p(x)$-Laplace equation coincide with distributional weak solutions to the strong $p(x)$-Laplace equation when $p$ is Lipschitz and $\inf p>1$. This yields $C^{1,\alpha}$ regularity for the viscosity solutions of the normalized $p(x)$-Laplace equation. As an additional application, we prove a Rad\'o-type removability theorem.

The linearized Calderón problem for polyharmonic operators

2023

In this article we consider a linearized Calderón problem for polyharmonic operators of order 2m (m ≥ 2) in the spirit of Calderón’s original work [7]. We give a uniqueness result for determining coefficients of order ≤ 2m − 1 up to gauge, based on inverting momentum ray transforms. peerReviewed

Nonlinear Liouville Problems in a Quarter Plane

2016

We answer affirmatively the open problem proposed by Cabr\'e and Tan in their paper "Positive solutions of nonlinear problems involving the square root of the Laplacian" (see Adv. Math. {\bf 224} (2010), no. 5, 2052-2093).

Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type

2018

Let $\mathscr{L}$ be a smooth second-order real differential operator in divergence form on a manifold of dimension $n$. Under a bracket-generating condition, we show that the ranges of validity of spectral multiplier estimates of Mihlin--H\"ormander type and wave propagator estimates of Miyachi--Peral type for $\mathscr{L}$ cannot be wider than the corresponding ranges for the Laplace operator on $\mathbb{R}^n$. The result applies to all sub-Laplacians on Carnot groups and more general sub-Riemannian manifolds, without restrictions on the step. The proof hinges on a Fourier integral representation for the wave propagator associated with $\mathscr{L}$ and nondegeneracy properties of the sub…

Efectos de un programa de fisioterapia respiratoria preoperatoria sobre la oxigenación y la función respiratoria perioperatoria en pacientes obesos m…

2014

introducción. Los pacientes obesos mórbidos muestran un mayor riesgo de hipoxemia y complicaciones pulmonares postoperatorias en comparación con los sujetos de peso normal. El propósito de este estudio fue determinar los efectos de un programa de fortalecimiento muscular inspiratorio preoperatorio (IMT) sobre la oxigenación arterial postoperatoria en los pacientes obesos mórbidos sometidos a cirugía bariátrica laparoscópica. Métodos. Cuarenta y cuatro pacientes con obesidad mórbida fueron asignados al azar para recibir cuidado preoperatorio habitual (grupo control, n = 21) o IMT preoperatoria (grupo estudio, n = 23) durante un mes antes de la fecha de la cirugía. Los datos sobre la oxigenac…

Commmento degli artt. 93-100 del D.Lg. 6 settembre 2005, n. 206 - Codice del Consumo

2010

Il commento investe la disciplina delle consenseguenze dell'inadempimento del venditore e del tour operator nell'ambito del contratto di pacchetto turistico. Lo studio affronata i temi della responsabilità contrattuale del venditore e del tour operator per violazione degli obblighi su di loro incombenti e poi affronta il problema delle voci di danno, patrimoniale e non, e della loro liquidazione. Il commento si sofferma anche sulla disciplina del reclamo, indagandone la natura, e sulla previsione dell'obbligo per i professionisti di stipulare un contratto di assicurazione della responsabilità civile così da garantire al consumatore il soddisfacimento del proprio credito di risarcimento del …

ADI schemes for valuing European options under the Bates model

2018

This paper is concerned with the adaptation of alternating direction implicit (ADI) time discretization schemes for the numerical solution of partial integro-differential equations (PIDEs) with application to the Bates model in finance. Three different adaptations are formulated and their (von Neumann) stability is analyzed. Ample numerical experiments are provided for the Bates PIDE, illustrating the actual stability and convergence behaviour of the three adaptations. peerReviewed

Measures of performance for the portfolio management

2012

Normalized Solutions to the Fractional Schrödinger Equation with Potential

2023

AbstractThis paper is concerned with the existence of normalized solutions to a class of Schrödinger equations driven by a fractional operator with a parametric potential term. We obtain minimization of energy functional associated with that equations assuming basic conditions for the potential. Our work offers a partial extension of previous results to the non-local case.

MR3535311 Reviewed Inoue, H.(J-KYUSGM); Takakura, M.(J-FUE-AM) Regular biorthogonal pairs and pseudo-bosonic operators. (English summary) J. Math. Ph…

2017

Given a pair of operators a and b acting on a Hilbert space H, such that [a,b]=1, the authors give a method to construct a regular bi-orthogonal pair of sequences in H. They study the relationship between the conditions on a,b,a†,b† and the operators Ae,Be,A†e,B†e, considered by one of the authors in a previous paper, in the set-up of a general theory of bi-orthogonal pair sequences. Then they give a method to construct operators A and B with the so-called D-pseudo bosons conditions, i.e. the commutation rule and some assumptions, on a dense subspace D of H, considered in the literature. Finally, some physical examples are given.