Matrix triangulation of hypoelliptic boundary value problems

R. A. Artino; J. Barros-Neto

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 4, page 805-824
  • ISSN: 0373-0956

Abstract

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Given a hypoelliptic boundary value problem on ω × [ 0 , T ) with ω an open set in R n , ( n > 1 ) , we show by matrix triangulation how to reduce it to two uncoupled first order systems, and how to estimate the eigenvalues of the corresponding matrices. Parametrices for the first order systems are constructed. We then characterize hypoellipticity up to the boundary in terms of the Calderon operator corresponding to the boundary value problem.

How to cite

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Artino, R. A., and Barros-Neto, J.. "Matrix triangulation of hypoelliptic boundary value problems." Annales de l'institut Fourier 42.4 (1992): 805-824. <http://eudml.org/doc/74974>.

@article{Artino1992,
abstract = {Given a hypoelliptic boundary value problem on $\omega \times [0,T)$ with $\omega $ an open set in $\{\bf R\}^ n$, $(n&gt;1)$, we show by matrix triangulation how to reduce it to two uncoupled first order systems, and how to estimate the eigenvalues of the corresponding matrices. Parametrices for the first order systems are constructed. We then characterize hypoellipticity up to the boundary in terms of the Calderon operator corresponding to the boundary value problem.},
author = {Artino, R. A., Barros-Neto, J.},
journal = {Annales de l'institut Fourier},
keywords = {parametrix; regularity up to the boundary; Calderon operator},
language = {eng},
number = {4},
pages = {805-824},
publisher = {Association des Annales de l'Institut Fourier},
title = {Matrix triangulation of hypoelliptic boundary value problems},
url = {http://eudml.org/doc/74974},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Artino, R. A.
AU - Barros-Neto, J.
TI - Matrix triangulation of hypoelliptic boundary value problems
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 4
SP - 805
EP - 824
AB - Given a hypoelliptic boundary value problem on $\omega \times [0,T)$ with $\omega $ an open set in ${\bf R}^ n$, $(n&gt;1)$, we show by matrix triangulation how to reduce it to two uncoupled first order systems, and how to estimate the eigenvalues of the corresponding matrices. Parametrices for the first order systems are constructed. We then characterize hypoellipticity up to the boundary in terms of the Calderon operator corresponding to the boundary value problem.
LA - eng
KW - parametrix; regularity up to the boundary; Calderon operator
UR - http://eudml.org/doc/74974
ER -

References

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