Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds

By Michael Röckner, F.-Y. Wang. 2003

76 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b830a76551a574a13d6c2c92402d4073ce1b1782

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Wei Liu
2. Feng-Yu Wang
3. Michael Röckner
4. Patrick Cattiaux
5. Nathael Gozlan
6. Arnaud Guillin
7. Franck Barthe
8. Wei David Liu

In Computational Theory and Mathematics

1. Wei Liu
2. Feng-Yu Wang
3. Michael Röckner
4. Xicheng Zhang
5. Tusheng Zhang
6. Wei David Liu
7. Paul Dupuis
8. A. Budhiraja

In Geometry and Topology

1. Wei Liu
2. Feng-Yu Wang

Citations in the corpus

• Harnack inequality and strong Feller property for stochastic fast-diffusion equations☆ (2007, unknown): “The advantage of this approach is that it avoids the assumption on curvature lower bounds used in previous articles (see [2, 3, 7, 15, 16]), which is very hard to verify in the framework of non-linear SPDEs.”
• Harnack inequality and applications for stochastic evolution equations with monotone drifts (2008, methodology): “The advantage of this approach is one can avoid the assumption on curvature lower bounds used essentially in previous articles (see [1, 2, 5, 26 , 27]), which would be very hard to verify in the present framework of non-linear SPDE.”
• Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature (2016, methodology): “The proofs of the other two assertions are based on the log-Sobolev inequality and the log-Harnack inequality derived in [23] and [36] respectively for bounded below RicZ .”