During the preparation of these notes, the author was a guest at the University of Paris VII. It is a pleasure for him to have the opportunity to express here his gratitude to his host, Daniel Revuz. Also, the author acknowledges the support of grants NSF DMS-8611487 and DAAL 03-86-K-0171 during the period when this research was carried out.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D.G. Aronson, Bounds on the fundamental solution of a parabolic equation, Bull. Am. Math. Soc. 73 (1967), 890–896.
E. De Giorgi, Sulle differentiabilità e l'analiticità degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (III) (1957), 25–43.
E. Fabes and D. Stroock, A new proof of Moser's parabolic Harnack Inequality using the old ideas of Nash, Arch. for Ratl. Mech. and Anal. 96, no. 4 (1986), 327–338.
J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134.
J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931–954.
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this chapter
Cite this chapter
Stroock, D.W. (1988). Diffusion semigroups corresponding to uniformly elliptic divergence form operators. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXII. Lecture Notes in Mathematics, vol 1321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084145
Download citation
DOI: https://doi.org/10.1007/BFb0084145
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19351-7
Online ISBN: 978-3-540-39228-6
eBook Packages: Springer Book Archive