1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Detalles del recurso

Descripción

Blow-up phenomena are analyzed for both the delay-differential equation (DDE) u'(t) = B'(t)u(t - tau), and the associated parabolic PDE (PDDE) partial derivative(t)u=Delta u+B'(t)u(t-tau,x), where B : [0, tau] -> R is a positive L(1) function which behaves like 1/vertical bar t - t*vertical bar(alpha), for some alpha is an element of (0, 1) and t* is an element of (0,tau). Here B' represents its distributional derivative. For initial functions satisfying u(t* - tau) > 0, blow up takes place as t NE arrow t* and the behavior of the solution near t* is given by u(t) similar or equal to B(t)u(t - tau), and a similar result holds for the PDDE. The extension to some nonlinear equations is also studied: we use the Alekseev's formula (case of nonlinear (DDE)) and comparison arguments (case of nonlinear (PDDE)). The existence of solutions in some generalized sense, beyond t = t* is also addressed. This results is connected with a similar question raised by A. Friedman and J. B. McLeod in 1985 for the case of semilinear parabolic equations.

Pertenece a

E-PrintsUCM   E-Prints Complutense  

Autor(es)

Díaz Díaz, Jesús Ildefonso -  Casal, Alfonso C. -  Vegas Montaner, José Manuel - 

Id.: 55287214

Idioma: español  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveEcuaciones diferenciales - 

Tipo de recurso: info:eu-repo/semantics/article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: info:eu-repo/semantics/embargoedAccess

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://eprints.ucm.es/15136/
[References] http://www.dynamicpublishers.com/DSA/dsa18pdf/03-DSA-CY-3-Casal.pdf
[References] MTM200503463
[References] CCG06-UCM/ESP-1110

Fecha de contribución: 18-oct-2016

Contacto:

Localización:

Otros recursos del mismo autor(es)

  1. Multiple solutions and numerical analysis to the dynamic and stationary models coupling a delayed energy balance model involving latent heat and discontinuous albedo with a deep ocean We study a climatologically important interaction of two of the main components of the geophysical s...
  2. Existence and uniqueness of singular solutions of $ p$-Laplacian with absorption for Dirichlet boundary condition In this paper, we consider the existence and uniqueness of singular solutions of degenerate paraboli...
  3. Quenching phenomenon of singular parabolic problems with L1 initial data We extend some previous existence results for quenching type parabolic problems involving a negative...

Otros recursos de la mismacolección

  1. From Tear to Pixel Political Correctness and Digital Emotions in the Exhumation of Mass Graves from the Civil War
  2. La desecación de las Tablas de Daimiel (1750-1987): cambios agrarios e impactos medioambientales a partir de la interpretación del registro sedimentario El Parque Nacional de lasTablas de Daimiel es un humedal de importancia internacional sometido a una...
  3. Biocatalyzed synthesis of antidiabetic drugs: A review The biocatalyzed production of building blocks for synthesizing drugs is a very attractive research ...
  4. Differential responses of Miocene rodent metacommunities to global climatic changes were mediated by environmental context The study of how long-term changes affect metacommunities is a relevant topic, that involves the eva...
  5. Avian and crocodilian eggshells from the upper Barremian site of Vadillos-1 (Lower Cretaceous, Cuenca province, Spain) The new upper Barremian microfossil site of Vadillos-1 (Lower Cretaceous, Beteta Gorges, Cuenca prov...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.