Global regularity of the \𝑜𝑣𝑒𝑟𝑙𝑖𝑛𝑒∂-Neumann problem in dimension two

1991 ◽  
pp. 55-61 ◽  
Author(s):  
So-Chin Chen
Keyword(s):  
Neumann Problem ◽  
Global Regularity

Global regularity of the $$\bar \partial $$ -Neumann problem on circular domains

1989 ◽  
Vol 285 (1) ◽  
pp. 1-12 ◽  
Author(s):  
So-Chin Chen
Keyword(s):  
Neumann Problem ◽  
Global Regularity ◽  
Circular Domains

The Diederich–Fornaess index and the global regularity of the $$\bar{\partial }$$ ∂ ¯ -Neumann problem

2013 ◽  
Vol 276 (1-2) ◽  
pp. 93-113 ◽  
Author(s):  
Stefano Pinton ◽  
Giuseppe Zampieri
Keyword(s):  
Neumann Problem ◽  
Global Regularity

SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS

2002 ◽  
Vol 13 (10) ◽  
pp. 1027-1042 ◽  
Author(s):  
SANGHYUN CHO
Keyword(s):  
Neumann Problem ◽  
Complex Manifold ◽  
Sobolev Spaces ◽  
Smooth Function ◽  
Global Regularity ◽  
Complex Structures ◽  
Estimates Of Solutions ◽  
Almost Complex Structures ◽  
Sobolev Estimates ◽  
Almost Complex

Let [Formula: see text] be a smoothly bounded pseudoconvex complex manifold with a family of almost complex structures {ℒτ}τ ∈ I, 0 ∈ I. Assume that there is a smooth function λ which is strictly plurisubharmonic with respect to the structure ℒ0 in a neighborhood of bM. Then we prove the global regularity for [Formula: see text]-Neumann problem in Sobolev spaces both in space and parameter variables.

scholarly journals Velocity–pressure correlation in Navier–Stokes flows and the problem of global regularity

2021 ◽  
Vol 911 ◽  
Author(s):  
Chuong V. Tran ◽  
Xinwei Yu ◽  
David G. Dritschel
Keyword(s):  
Global Regularity ◽  
Navier Stokes ◽  
Stokes Flows ◽  
Velocity Pressure

Abstract

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