A pointwise estimate for fractionary derivatives with applications to partial differential equations.

Abstract:

:This article emphasizes the role played by a remarkable pointwise inequality satisfied by fractionary derivatives in order to obtain maximum principles and Lp-decay of solutions of several interesting partial differential equations. In particular, there are applications to quasigeostrophic flows, in two space variables with critical viscosity, that model the Eckman pumping [see Baroud, Ch. N., Plapp, B. B., She, Z. S. & Swinney, H. L. (2002) Phys. Rev. Lett. 88, 114501 and Constantin, P. (2002) Phys. Rev. Lett. 89, 184501].

authors

Cordoba A,Cordoba D

doi

10.1073/pnas.2036515100

keywords:

subject

Has Abstract

pub_date

2003-12-23 00:00:00

pages

15316-7

issue

26

eissn

0027-8424

issn

1091-6490

pii

2036515100

journal_volume

100

pub_type

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