Mathematics – Analysis of PDEs
Scientific paper
2008-12-15
Mathematics
Analysis of PDEs
Scientific paper
The ?rst purpose of this note is to provide a proof of the usual square function estimate on Lp (?). It turns out to follow directly from a generic Mikhlin multiplier theorem obtained by Alexopoulos, which mostly relies on Gaussian bounds on the heat kernel. We also provide a simple proof of a weaker version of the square function estimate, which is enough in most instances involving dispersive PDEs. Moreover, we obtain, by a relatively simple integration by parts, several useful Lp (?; H) bounds for the derivatives of the heat ?ow with values in a given Hilbert space H.
Ivanovici Oana
Planchon Fabrice
No associations
LandOfFree
Square function and heat flow estimates on domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Square function and heat flow estimates on domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Square function and heat flow estimates on domains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-226118