no. 5
Area integral estimates for higher order elliptic equations and systems
Annales de l'Institut Fourier, Tome 47 (1997) no. 5, pp. 1425-1461.

Soit L un système elliptique d’ordre m≥2 d’opérateurs différentiels homogènes. On établit l’équivalence entre la norme L p de la fonction maximale et la fonctionnelle quadratique des solutions de L dans les domaines lipschitziens. On donne quelques conséquences de ce résultat.

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.

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     author = {Dahlberg, Bj\"orn E. J. and Kenig, Carlos E. and Pipher, Jill and Verchota, G. C.},
     title = {Area integral estimates for higher order elliptic equations and systems},
     journal = {Annales de l'Institut Fourier},
     pages = {1425--1461},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Dahlberg, Björn E. J.; Kenig, Carlos E.; Pipher, Jill; Verchota, G. C. Area integral estimates for higher order elliptic equations and systems. Annales de l'Institut Fourier, Tome 47 (1997) no. 5, pp. 1425-1461. doi : 10.5802/aif.1605. https://aif.centre-mersenne.org/articles/10.5802/aif.1605/

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