6 papers
Cotorsion pairs in comma categories
Yuan Yuan, Jian He, Dejun Wu
Let A and B be abelian categories with enough projective and injective objects, and T : A-B a left exact additive functor. Then one has a comma category (B*T). It is shown that If…
Hardy spaces and Szegő projection on quotient domains
Liwei Chen, Yuan Yuan
The Hardy spaces are defined on the quotient domain of a bounded complete Reinhardt domain by a finite subgroup of . The Szegő projection on the quotient domain can be studie…
Stein's theorem on infinite type domains
Liwei Chen, Yuan Yuan
The disc property is formulated for domains in . Holomorphic Lipschitz functions enjoy a gain in the order of Lipschitz regularity along the complex tangential direct…
Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations
Yeping Li, Yu Mei, Yuan Yuan
This paper concerns with the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities…
Uniform estimates of the Cauchy-Riemann equation on product domains
Yuan Yuan
We observe that the continuity assumption on for the uniform estimates of the canonical solution to on products of bounded planar domains in \cite{DP…
Weakly nonlinear surface waves on the plasma-vacuum interface
Paolo Secchi, Yuan Yuan
We consider the free boundary problem for a plasma--vacuum interface in ideal incompressible magnetohydrodynamics. Unlike the classical statement, where the vacuum magnetic field o…