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

被引：77

作者：

Córdoba, A

Córdoba, D

机构：

[1] CSIC, Madrid 28006, Spain

[2] Univ Autonoma Madrid, E-28049 Madrid, Spain

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2003年 / 100卷 / 26期

关键词：

D O I：

10.1073/pnas.2036515100

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：15316 / 15317

页数：2

共 6 条

[1] Global well-posedness in the super-critical dissipative quasi-geostrophic equations [J].