Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems

Masashi Misawa

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 3, page 287-302
  • ISSN: 1233-7234

Abstract

top
We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.

How to cite

top

Masashi Misawa. "Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems." Applicationes Mathematicae 31.3 (2004): 287-302. <http://eudml.org/doc/279406>.

@article{MasashiMisawa2004,
abstract = {We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.},
author = {Masashi Misawa},
journal = {Applicationes Mathematicae},
keywords = {maximum principle for weak solutions},
language = {eng},
number = {3},
pages = {287-302},
title = {Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems},
url = {http://eudml.org/doc/279406},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Masashi Misawa
TI - Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 3
SP - 287
EP - 302
AB - We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
LA - eng
KW - maximum principle for weak solutions
UR - http://eudml.org/doc/279406
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.