Toulouse 1 Capitole Publications
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Confiance par l’"empouvoirement" de la personne concernée : réalité ou espoir à concrétiser ?
No full textÉclairages sur la distinction entre faute de gestion et simple négligence (C. com., art. L. 651-2). (note s/s CA Angers, 18 janv. 2022, n° 17/02316)
No full textLes enseignements du refus de la qualité d'associé à l'usufruitier de droits sociaux (note sous Cass. 3ème Civ., 16 févr. 2022, n° 20-15.164)
No full text
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity
No full textWe present some sharper finite extinction time results for solutions of a class of damped nonlinear Schrödinger equations when the nonlinear damping term corresponds to the limit cases of some ``saturating non-Kerr law'' with and To carry out the improvement of previous results in the literature we present in this paper a careful revision of the existence and regularity of weak solutions under very general assumptions on the data. We prove that the problem can be solved in the very general framework of the maximal monotone operators theory, even under a lack of regularity of the damping term. This allows us to consider, among other things, the singular case We replace the above approximation of the damping term by a different one which keeps the monotonicity for any . We prove that, when the finite extinction time of the solution arises for merely bounded right hand side data This is specially useful in the applications in which the Schrödinger equation is coupled with some other functions satisfying some additional equations
La date de transmission à l'absorbante du droit d'agir en justice de l'absorbée, en cas de fusion sans création d’une nouvelle société (note s/s Cass. com., 7 juillet 2021, n° 19-11.906)
No full textDans le cadre d’une fusion-absorption, l'assemblée générale de la société absorbante, dont le procès-verbal des délibérations a fait, en temps utile, l'objet d'un dépôt au greffe du tribunal de commerce compétent, a opéré de plein droit, transmission universelle du patrimoine de l’absorbée à l’absorbante et, par voie de conséquence, conféré à cette dernière, dès cette date, qualité pour agir en paiement contre la caution d’une créance détenue par la société absorbée
Best-response dynamics in directed network games
No full textWe study public goods games played on networks with possibly non-recip-rocal relationships between players. Examples for this type of interactions include one-sided relationships, mutual but unequal relationships, and par-asitism. It is well known that many simple learning processes converge to a Nash equilibrium if interactions are reciprocal, but this is not true in general for directed networks. However, by a simple tool of rescaling the strategy space, we generalize the convergence result for a class of directed networks and show that it is characterized by transitive weight matrices and quadratic best-response potentials. Additionally, we show convergence in a second class of networks; those rescalable into networks with weak exter-nalities. We characterize the latter class by the spectral properties of the absolute value of the network’s weight matrix and by another best-response potential structure