Cat. B

Parabolic-type pseudodifferential equations with elliptic symbols in dimension 3 over $p$-adics

In this paper we deal with the operator defined as 𝑓(∂,𝛼)𝜙:=−1𝜉→𝑥(|𝑓(𝜉)|𝛼𝑝𝑥→𝜉𝜙), where f(ξ) is an elliptic quadratic form of dimension 3 over ℚ p . We study the Cauchy problem associated that operator, and find the fundamental solution and some …

Some relations between N-Koszul, Artin-Schelter regular and Calabi-Yau algebras with skew PBW extensions

Some authors have studied relations between Artin-Schelter regular algebras, N-Koszul algebras and Calabi- Yau algebras (resp. skew Calabi-Yau) of dimension d. In this paper we want to show through examples and counterexamples some relations between …

Asymptotic Behavior of Global Entropy Solutions for Nonstrictly Hyperbolic Systems with Linear Damping

We investigate the large time behavior of the global weak entropy solutions to the symmetric Keyfitz-Kranzer system with linear damping. It is proved that as t to infinity the entropy solutions tend to zero in the Lp norm.

Análisis de la producción científica matemática en Colombia: base web of knowledge 2001-2012

Este trabajo tiene como objetivo caracterizar la tendencia de las publicaciones científicas en Colombia en el área de Matemáticas reportadas en la base de datos Web of Science-Wok, en el periodo 2001 a 2012, de autores con afiliación institucional …

Influencia de las Tecnologías de la Información y la Comunicación en la apropiación de conceptos de electrónica análoga, en estudiantes de grado séptimo de educación básica

Esta investigación tuvo como objeto evaluar la influencia de las tecnologías de la información y la comunicación, TIC, en el proceso de enseñanza - aprendizaje de conceptos básicos de electrónica analógica en grado séptimo del Colegio Andino de …

El problema de auto-valores sobre dominios paramétricos: algunos experimentos numéricos

En este trabajo revisamos algunos conceptos básicos relacionados al cálculo numérico de soluciones de ecuaciones diferenciales parciales. En particular, aplicamos el método de (los) elementos finitos al cálculo de auto-valores y auto-funciones de …

Delta Shock Wave for the Suliciu Relaxation System

We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that model viscoelastic …

$p$-Adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes

In this article we study the Cauchy problem for a new class of parabolic-type pseudodifferential equations with variable coefficients for which the fundamental solutions are transition density functions of Markov processes in the four dimensional …

The problem of the first return attached to a pseudodifferential operator in dimension 3

In this article we study the problem of first return associated to an elliptic pseudodifferential operator with non-radial symbol of dimension 3 over the p-adics.

Ideales en el Anillo de Polinomios Torcidos R [x; sigma, delta]

This article aims to present the Hilbert’s Basis Theorem for an skew polynomials ring, some classes of ideals that are defined in this ring, and the neccesary conditions for an skew polynomials ring to be semiprimitive. Moreover, some examples for …