- and -hypoellipticity of partial differential operators with constant Colombeau coefficients

Claudia Garetto

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 111-131
  • ISSN: 0137-6934

Abstract

top
We provide a deep investigation of the notions of - and -hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for - and -hypoellipticity are given

How to cite

top

Claudia Garetto. "- and $^{∞}$-hypoellipticity of partial differential operators with constant Colombeau coefficients." Banach Center Publications 88.1 (2010): 111-131. <http://eudml.org/doc/281812>.

@article{ClaudiaGaretto2010,
abstract = {We provide a deep investigation of the notions of - and $^∞$-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for - and $^∞$-hypoellipticity are given},
author = {Claudia Garetto},
journal = {Banach Center Publications},
keywords = {Colombeau algebras; hypoellipticity; fundamental solution},
language = {eng},
number = {1},
pages = {111-131},
title = {- and $^\{∞\}$-hypoellipticity of partial differential operators with constant Colombeau coefficients},
url = {http://eudml.org/doc/281812},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Claudia Garetto
TI - - and $^{∞}$-hypoellipticity of partial differential operators with constant Colombeau coefficients
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 111
EP - 131
AB - We provide a deep investigation of the notions of - and $^∞$-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for - and $^∞$-hypoellipticity are given
LA - eng
KW - Colombeau algebras; hypoellipticity; fundamental solution
UR - http://eudml.org/doc/281812
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.