Area integral estimates for higher order elliptic equations and systems

Björn E. J. Dahlberg; Carlos E. Kenig; Jill Pipher; G. C. Verchota

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 5, page 1425-1461
  • ISSN: 0373-0956

Abstract

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Let L be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in L p norm between the maximal function and the square function of solutions to L in Lipschitz domains. Several applications of this result are discussed.

How to cite

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Dahlberg, Björn E. J., et al. "Area integral estimates for higher order elliptic equations and systems." Annales de l'institut Fourier 47.5 (1997): 1425-1461. <http://eudml.org/doc/75269>.

@article{Dahlberg1997,
abstract = {Let $L$ be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in $L^p$ norm between the maximal function and the square function of solutions to $L$ in Lipschitz domains. Several applications of this result are discussed.},
author = {Dahlberg, Björn E. J., Kenig, Carlos E., Pipher, Jill, Verchota, G. C.},
journal = {Annales de l'institut Fourier},
keywords = {elliptic symmetric -systems; nontangential maximal function; square function; tangential derivatives},
language = {eng},
number = {5},
pages = {1425-1461},
publisher = {Association des Annales de l'Institut Fourier},
title = {Area integral estimates for higher order elliptic equations and systems},
url = {http://eudml.org/doc/75269},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Dahlberg, Björn E. J.
AU - Kenig, Carlos E.
AU - Pipher, Jill
AU - Verchota, G. C.
TI - Area integral estimates for higher order elliptic equations and systems
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 5
SP - 1425
EP - 1461
AB - Let $L$ be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in $L^p$ norm between the maximal function and the square function of solutions to $L$ in Lipschitz domains. Several applications of this result are discussed.
LA - eng
KW - elliptic symmetric -systems; nontangential maximal function; square function; tangential derivatives
UR - http://eudml.org/doc/75269
ER -

References

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