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20062026
most citedWell-posedness of the Cauchy problem for the fractional power dissipative equations

224 citations · 3.1k across the 103 of their papers we have counts for

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Showing 2020 · math.APShow all

5 papers · 2 filters

math.AP2020★ 1 cited

Square function estimates and Local smoothing for Fourier Integral Operators

Chuanwei Gao, Bochen Liu, Changxing Miao +1

We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sh…

math.AP2020★ 2 cited

Scattering theory for subcritical wave equation with inverse square potential

Changxing Miao, Ruipeng Shen, Tengfei Zhao

We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flu…

math.AP2020

On the semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle

Jingyue Li, Changxing Miao, Xiaoxin Zheng

We consider the motion of an incompressible viscous fluid filling the whole space exterior to a moving with rotation and translation obstacle. We show that the Stokes operator arou…

math.AP2020★ 2 cited

Restriction estimates for certain surfaces of finite type in

Zhuoran Li, Changxing Miao, Jiqiang Zheng

In this paper, we study the restriction estimate for a certain surface of finite type in , and partially improves the results of Buschenhenke-Müller-Vargas. The key i…

math.AP2020

Improved local smoothing estimate for the fractional Schrödinger operator

Chuanwei Gao, Changxing Miao, Jiqiang Zheng

In this paper, we consider the local smoothing estimate of fractional Schrödinger operator with . Using the -broad "norm" estimate developed by Guth, we…