Analysis of second order elliptic operators without boundary conditions and with VMO or Hölderian coefficients

Wavelet Analysis and Its Applications

Volumn 6, Issue C, 1997, Pages 495-539

  Angeletti, J M ^a,b   Mazet, S ^a,b   Tchamitchian, P ^a,b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957128250     PISSN: 1874608X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-608X(97)80015-5     Document Type: Chapter

References (19)

1. Aronson D. Bounds for fundamental solutions of a parabolic equation. Bull. Amer. Math. Soc. 73 (1967) 890-896
2. Auscher, P., A. McIntosh, and P. Tchamitchian, Heat kernels of second order complex elliptic operators and applications, J. Funct. Anal., to appear.
3. p -regularity for systems of PDEs with coefficients in VMO. In: Krbec, Opic, and Rakosnik (Eds). Nonlinear Analysis, Function Spaces and Applications vol. 5 (1994), Prometheus Pub. House, Hamden, Connecticut
4. 2,p -solvability of the Dirichlet problem for non-divergence elliptic equations with VMO coefficients. Trans. Amer. Math. Soc. 336 (1993) 841-853
5. 2,p estimates for non-divergence elliptic equations with discontinuous coefficients. Ricerche di Mat. 40 (1991) 149-168
6. Coifman R., Rochberg R., and Weiss G. Factorization theorems for Hardy spaces in several variables. Ann. Math. 103 (1976) 611-635
7. David G., and Journé J.L. A boundedness criterion for generalized Calderòn-Zygmund operators. Ann. Math. 120 (1984) 371-387
8. Escauriaza, L., Weak type (1,1) estimates and regularity properties of adjoint and normalized adjoint solutions to linear non-divergence form operators with VMO coefficients, preprint.
9. Frazier M., and Jawerth B. A discrete transform and decomposition of function spaces. J. Funct. Anal. 93 (1990) 34-170
10. Frazier M., Jawerth B., and Weiss G. Littlewood-Paley Theory and the Study of Function Spaces. CBMS-AMS Regional Conf. Ser. in Math. 79 (1991), AMS
11. Lemarié P.G. Algèbres d'opérateurs et semi-groupes de Poisson sur un espace de nature homogène (1984), Thèse, Providence
12. Lemarié P.G. Ondelettes vecteurs à divergence nulle. Rev. Mat. Iberoamericana 8 (1992) 91-107
13. Meyer Y. Ondelettes et Opérateurs vol. 1-3 (1990), Hermann, Orsay
14. Sarason D. Functions of vanishing mean oscillation. Trans. Amer. Math. Soc. 207 (1975) 391-405
15. Taylor M. Pseudodifferential Operators and Nonlinear PDE (1991), Birkhäuser, Paris
16. Tchamitchian P. Wavelets and differential operators. In: Daubechies I. (Ed). Different Perspectives on Wavelets. Proc. Sympos. Appl. Math. 47 (1993), AMS, Basel 77-88
17. Tchamitchian P. Wavelets, functions and operators. In: Erlebacher G., et al. (Ed). Wavelets. Theory and Applications (1996), Oxford University Press, Providence 83-181
18. Tchamitchian, P., Inversion de certains opérateurs elliptiques à coefficients variables, SIAM J. Math. Anal., to appear.
19. Triebel H. Theory of Function Spaces II (1992), Birkhäuser, Oxford