On the differentiability of the solution to an equation with drift and fractional diffusion

On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations

L. Nirenberg · 1954

Earlier work this paper cites.

Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen

Heinz Otto Cordes · 1956

Earlier work this paper cites.

The local regularity of solutions of degenerate elliptic equations

Eugene B. Fabes, Carlos E. Kenig, and Raul P. Serapioni · 1982

Earlier work this paper cites.

Boundary behavior of solutions to degenerate elliptic equations

E. B. Fabes, C. E. Kenig, and D. Jerison · 1983

Earlier work this paper cites.

Fractal first-order partial differential equations

Jérôme Droniou and Cyril Imbert · 2006

Earlier work this paper cites.

An extension problem related to the fractional Laplacian

L. Caffarelli and L. Silvestre · 2007

Earlier work this paper cites.

Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation

P. Constantin and J. Wu · 2008

Cited alongside, same era.

Global regularity for a modified critical dissipative quasi-geostrophic equation

Peter Constantin, Gautam Iyer, and Jiahong Wu · 2008

Cited alongside, same era.

Regularity results for nonlocal equations by approximation

L. Caffarelli and L. Silvestre · 2009

Cited alongside, same era.

Eventual regularization for the slightly supercritical quasi-geostrophic equation

L. Silvestre · 2009

Cited alongside, same era.

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

Luis A. Caffarelli and Alexis Vasseur · 2010

Cited alongside, same era.

Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation

Eventual regularization of the slightly supercritical fractional Burgers equation

C.H. Chan, M. Czubak, and L. Silvestre · 2010

Closest in time.

Variation on a theme of caffarelli and vasseur

A. Kiselev and F. Nazarov · 2010

Closest in time.

Pathwise uniqueness for singular sdes driven by stable processes

Original

E. Priola · 2010

Closest in time.

Nonlocal maximum principles for active scalars

A. Kiselev · 2011

Closest in time.

On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion

Luis Silvestre · 2011

Closest in time.