Title
Hörmander's Theorem for Parabolic Equations with Coefficients Measurable in the Time Variable.
Abstract
We are dealing with possibly degenerate second-order parabolic operators whose coefficients are infinitely differentiable with respect to the space variables and only measurable with respect to the time variable. We impose the Hormander condition on the diffusion coefficients and prove that the solutions of the corresponding equations with right-hand sides which are infinitely differentiable in the space variables in a space-time domain also have this property.
Year
DOI
Venue
2014
10.1137/130916874
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
hypoellipticity,parabolic operators,measurable coefficients
Journal
46
Issue
ISSN
Citations 
1
0036-1410
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
N. V. Krylov1511.53