Search results for "General Mathematics"
showing 10 items of 3795 documents
Mappings of finite distortion : size of the branch set
2018
Abstract We study the branch set of a mapping between subsets of ℝ n {\mathbb{R}^{n}} , i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.
Fixed point theorems for multivalued maps via new auxiliary function
2016
We introduce a contractive condition involving new auxiliary function and prove a fixed point theorem for closed multivalued maps on complete metric spaces. An example and an application to integral equation are given in support of our findings.
Thin obstacle problem : Estimates of the distance to the exact solution
2018
We consider elliptic variational inequalities generated by obstacle type problems with thin obstacles. For this class of problems, we deduce estimates of the distance (measured in terms of the natural energy norm) between the exact solution and any function that satisfies the boundary condition and is admissible with respect to the obstacle condition (i.e., they are valid for any approximation regardless of the method by which it was found). Computation of the estimates does not require knowledge of the exact solution and uses only the problem data and an approximation. The estimates provide guaranteed upper bounds of the error (error majorants) and vanish if and only if the approximation c…
Numerical Study of Blow-Up Mechanisms for Davey-Stewartson II Systems
2018
We present a detailed numerical study of various blow-up issues in the context of the focusing Davey-Stewartson II equation. To this end we study Gaussian initial data and perturbations of the lump and the explicit blow-up solution due to Ozawa. Based on the numerical results it is conjectured that the blow-up in all cases is self similar, and that the time dependent scaling is as in the Ozawa solution and not as in the stable blow-up of standard $L^{2}$ critical nonlinear Schr\"odinger equations. The blow-up profile is given by a dynamically rescaled lump.
Anna Maria Kosińska, Kulturalne prawa człowieka. Regulacje normatywne i ich realizacja, Wydawnictwo KUL, Lublin 2014, ss. 340
2017
Mejora de la autodeterminación a través de las matemáticas en adolescentes con discapacidad intelectual. Un estudio de caso
2015
Recepcion: 4 de octubre de 2015 | Revision: 6 de septiembre de 2015 | Aceptacion/Publicacion: 7 de octubre de 2015
Le Fou et le Savant, culbuto théâtral d’une société en équilibre instable
2009
Le theâtre occidental, ne dans la Grece antique, d’une angoisse de l’homme a donner un sens poetique a la complexite du monde, organise encore aujourd’hui ses representations, de plus en plus technologiques, autour de la souffrance. Fou/savant, artiste/expert, utopiste/politique en sont les binomes recurrents.
Normalized solutions to the mixed dispersion nonlinear Schr��dinger equation in the mass critical and supercritical regime
2019
In this paper, we study the existence of solutions to the mixed dispersion nonlinear Schrödinger equation γΔ2u − Δu + αu =
TANGENTIAL DEFORMATIONS ON FIBRED POISSON MANIFOLDS
2005
In a recent article, Cattaneo, Felder and Tomassini explained how the notion of formality can be used to construct flat Fedosov connections on formal vector bundles on a Poisson manifold $M$ and thus a star product on $M$ through the original Fedosov method for symplectic manifolds. In this paper, we suppose that $M$ is a fibre bundle manifold equipped with a Poisson tensor tangential to the fibers. We show that in this case the construction of Cattaneo-Felder- Tomassini gives tangential (to the fibers) star products.
Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions
2014
Abstract Let ( X , d , μ ) be a complete, locally doubling metric measure space that supports a local weak L 2 -Poincare inequality. We show that optimal gradient estimates for Cheeger-harmonic functions imply local isoperimetric inequalities.