20 citations · 21 across the 4 of their papers we have counts for
4 papers
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…
Some Results on the Schiffer's Conjecture in R^2
Jian Deng
Let be an open, bounded domain in the plane with connected and smooth boundary, and an eigenfunction of the Neumann Laplacian corresponding to some Neumann eigenvalue $μ> 0…
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…
Geometric properties and non-blowup of 3-D incompressible Euler flow
Jian Deng, Thomas Y. Hou, Xinwei Yu
By exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field an…