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math.AP2020★ 1 cited
Continuity of family of Calderón projections
Bernhelm Booss-Bavnbek, Jian Deng, Yuting Zhou +1
We consider a continuous family of linear elliptic differential operators of arbitrary order over a smooth compact manifold with boundary. Assuming constant dimension of the spaces…
math.AP2006
Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation
Jian Deng, Thomas Y. Hou, Ruo Li +1
In this article we apply the technique proposed in Deng-Hou-Yu (Comm. PDE, 2005) to study the level set dynamics of the 2D quasi-geostrophic equation. Under certain assumptions on…