The critical nonlinear wave equation in two space dimensions

Michael Struwe

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 5, page 1805-1823
  • ISSN: 1435-9855

Abstract

top
Extending our previous work, we show that the Cauchy problem for wave equations with critical exponential nonlinearities in 2 space dimensions is globally well-posed for arbitrary smooth initial data.

How to cite

top

Struwe, Michael. "The critical nonlinear wave equation in two space dimensions." Journal of the European Mathematical Society 015.5 (2013): 1805-1823. <http://eudml.org/doc/277304>.

@article{Struwe2013,
abstract = {Extending our previous work, we show that the Cauchy problem for wave equations with critical exponential nonlinearities in 2 space dimensions is globally well-posed for arbitrary smooth initial data.},
author = {Struwe, Michael},
journal = {Journal of the European Mathematical Society},
keywords = {critical nonlinearity; Moser-Trudinger estimate; well-posedness; critical nonlinearity; Moser-Trudinger estimate; well-posedness},
language = {eng},
number = {5},
pages = {1805-1823},
publisher = {European Mathematical Society Publishing House},
title = {The critical nonlinear wave equation in two space dimensions},
url = {http://eudml.org/doc/277304},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Struwe, Michael
TI - The critical nonlinear wave equation in two space dimensions
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 5
SP - 1805
EP - 1823
AB - Extending our previous work, we show that the Cauchy problem for wave equations with critical exponential nonlinearities in 2 space dimensions is globally well-posed for arbitrary smooth initial data.
LA - eng
KW - critical nonlinearity; Moser-Trudinger estimate; well-posedness; critical nonlinearity; Moser-Trudinger estimate; well-posedness
UR - http://eudml.org/doc/277304
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.