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Holder continuity of solutions of supercritical dissipative hydrodynamic transport equations
Holder continuity solutions supercritical dissipative hydrodynamic transport equations
2014/4/4
We examine the regularity of weak solutions of quasi-geostrophic (QG) type equations with supercritical (α < 1/2) dissipation (−∆)α. This study is motivated by a recent work of Caffarelli ...
Sharp L1 estimates for singular transport equations
singular transport equations Kirchhoff-Sobolev parametrices
2014/4/3
In collaboration with I. Rodnianski provide $L^1$ estimates for a transport equation which contains singular integral operators. The form of the equation was motivated by the study of Kirchhoff-Sobole...