Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators

Cung The Anh; Nguyen Van Quang

Annales Polonici Mathematici (2010)

  • Volume: 98, Issue: 3, page 251-271
  • ISSN: 0066-2216

Abstract

top
We consider the first initial boundary value problem for nonautonomous quasilinear degenerate parabolic equations involving weighted p-Laplacian operators, in which the nonlinearity satisfies the polynomial condition of arbitrary order and the external force is normal. Using the asymptotic a priori estimate method, we prove the existence of uniform attractors for this problem. The results, in particular, improve some recent ones for nonautonomous p-Laplacian equations.

How to cite

top

Cung The Anh, and Nguyen Van Quang. "Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators." Annales Polonici Mathematici 98.3 (2010): 251-271. <http://eudml.org/doc/280876>.

@article{CungTheAnh2010,
abstract = {We consider the first initial boundary value problem for nonautonomous quasilinear degenerate parabolic equations involving weighted p-Laplacian operators, in which the nonlinearity satisfies the polynomial condition of arbitrary order and the external force is normal. Using the asymptotic a priori estimate method, we prove the existence of uniform attractors for this problem. The results, in particular, improve some recent ones for nonautonomous p-Laplacian equations.},
author = {Cung The Anh, Nguyen Van Quang},
journal = {Annales Polonici Mathematici},
keywords = {polynomial condition of arbitrary order},
language = {eng},
number = {3},
pages = {251-271},
title = {Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators},
url = {http://eudml.org/doc/280876},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Cung The Anh
AU - Nguyen Van Quang
TI - Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 3
SP - 251
EP - 271
AB - We consider the first initial boundary value problem for nonautonomous quasilinear degenerate parabolic equations involving weighted p-Laplacian operators, in which the nonlinearity satisfies the polynomial condition of arbitrary order and the external force is normal. Using the asymptotic a priori estimate method, we prove the existence of uniform attractors for this problem. The results, in particular, improve some recent ones for nonautonomous p-Laplacian equations.
LA - eng
KW - polynomial condition of arbitrary order
UR - http://eudml.org/doc/280876
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.