31 citations · 73 across the 14 of their papers we have counts for
14 papers
Unconditional deep-water limit of the intermediate long wave equation in low-regularity
Justin Forlano, Guopeng Li, Tengfei Zhao
In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on bo…
Fractional Leibniz rule on the torus
Árpád Bényi, Tadahiro Oh, Tengfei Zhao
We discuss the fractional Leibniz rule for periodic functions on the -dimensional torus, including the endpoint cases. As an application, we present a product estimate, involvin…
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
Guopeng Li, Liying Tao, Tengfei Zhao
We consider the Cauchy problem for the stochastic Hartree nonlinear wave equations (SHNLW) with a cubic convolution nonlinearity and an additive stochastic forcing on the Euclidean…
Almost sure scattering for defocusing energy critical Hartree equation on
Liying Tao, Tengfei Zhao
We consider the defocusing energy-critical Hartree equation $i\pa_tu+Δu=(|\cdot|^{-4}\ast|u|^2)u$ in spatial dimension and prove almost sure scattering with initial data $u_0…
Decoupling for finite type phases in higher dimensions
Chuanwei Gao, Zhuoran Li, Tengfei Zhao +1
In this paper, we establish an decoupling inequality for the hypersurface \[\Big\{(ξ_1,...,ξ_{n-1},ξ_1^m+...+ξ_{n-1}^m): (ξ_1,...,ξ_{n-1}) \in [0,1]^{n-1}\Big\}\]associate…
Maximal estimates for the Weyl sums on (with an appendix by Alex Barron)
Changxing Miao, Jiye Yuan, Tengfei Zhao
In this paper, we obtain the maximal estimate for the Weyl sums on the torus with , which is sharp up to the endpoint. We also consider two variants of this…
Schrödinger maximal estimates associated with finite type phases in
Zhuoran Li, Junyan Zhao, Tengfei Zhao
In this paper, we establish Schrödinger maximal estimates associated with the finite type phases \begin{equation*} ϕ(ξ_1,ξ_2):=ξ^m_1+ξ^m_2,\;(ξ_1,ξ_2)\in [0,1]^2, \end{equation*} w…
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…
On the dimension of divergence sets of Schrödinger equation with complex time
Jiye Yuan, Tengfei Zhao, Jiqiang Zheng
This article studies the pointwise convergence for the fractional Schrödinger operator with complex time in one spatial dimension. Through establishing -maximal…
A remark on the scattering theory for the 2d radial focusing INLS
Chengbin Xu, Tengfei Zhao
We consider the scattering results of the radial solutions below the ground state to the focusing inhomogeneous nonlinear Schrödinger equation $$i\partial_tu+Δu +|x|^{-b}|u|^{p}u=0…
Scattering for 3d cubic focusing NLS on the domain outside a convex obstacle revisited
Chengbin Xu, Tengfei Zhao, Jiqiang Zheng
In this article, we consider the focusing cubic nonlinear Schrödinger equation(NLS) in the exterior domain outside of a convex obstacle in with Dirichlet boundary co…
A new proof of scattering theory for the 3d radial nls with combined terms
Chengbin Xu, Tengfei Zhao
In this paper, we give a simple proof of scattering result for the Schrödinger equation with combined term $i\pa_tu+Δu=|u|^2u-|u|^4u$ in dimension three, that avoids the concentrat…
The global well-posedness and scattering for the D defocusing conformal invariant NLW with radial initial data in a critical Besov space
Changxing Miao, Jianwei Yang, Tengfei Zhao
In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the cri…
On the 4D Nonlinear Schrödinger equation with combined terms under the energy threshold
Changxing Miao, Tengfei Zhang, Jiqiang Zheng
In this paper, we consider the longtime dynamics of the solutions to focusing energy-critical Schrödinger equation with a defocusing energy-subcritical perturbation term under a gr…