# Diffusion semigroups corresponding to uniformly elliptic divergence form operators

Séminaire de probabilités de Strasbourg (1988)

- Volume: 22, page 316-347

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top## How to cite

topStroock, Daniel W.. "Diffusion semigroups corresponding to uniformly elliptic divergence form operators." Séminaire de probabilités de Strasbourg 22 (1988): 316-347. <http://eudml.org/doc/113641>.

@article{Stroock1988,

author = {Stroock, Daniel W.},

journal = {Séminaire de probabilités de Strasbourg},

keywords = {second order partial differential operator; measurable, symmetric matrix- valued function; ellipticity; Feller continuous Markov semigroup; Aronson's Estimate; perturbation of divergence form operators},

language = {eng},

pages = {316-347},

publisher = {Springer - Lecture Notes in Mathematics},

title = {Diffusion semigroups corresponding to uniformly elliptic divergence form operators},

url = {http://eudml.org/doc/113641},

volume = {22},

year = {1988},

}

TY - JOUR

AU - Stroock, Daniel W.

TI - Diffusion semigroups corresponding to uniformly elliptic divergence form operators

JO - Séminaire de probabilités de Strasbourg

PY - 1988

PB - Springer - Lecture Notes in Mathematics

VL - 22

SP - 316

EP - 347

LA - eng

KW - second order partial differential operator; measurable, symmetric matrix- valued function; ellipticity; Feller continuous Markov semigroup; Aronson's Estimate; perturbation of divergence form operators

UR - http://eudml.org/doc/113641

ER -

## References

top- [A] D.G. Aronson, Bounds on the fundamental solution of a parabolic equation, Bull. Am. Math. Soc.73 (1967), 890-896. Zbl0153.42002MR217444
- [DG] 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. Zbl0084.31901
- [F.-S.] 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. Zbl0652.35052MR855753
- [M] J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math.17 (1964), 101-134. Zbl0149.06902MR159139
- [N] J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math.80 (1958), 931-954. Zbl0096.06902MR100158

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