Results 51 to 54 of about 298 (54)

Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation

open access: yes, 2009
In this work, we consider a spatially homogeneous Kac's equation with a non cutoff cross section. We prove that the weak solution of the Cauchy problem is in the Gevrey class for positive time.
Lekrine, Nadia, Xu, Chao-Jiang
core   +3 more sources

A Short Proof of Increased Parabolic Regularity

open access: yes, 2015
We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates, can be extended to ...
Michalowski, Nicholas   +1 more
core   +1 more source

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