Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Gao, Chuanwei"'
In this paper, we establish an $\ell^2$ decoupling inequality for the hypersurface \[\Big\{(\xi_1,...,\xi_{n-1},\xi_1^m+...+\xi_{n-1}^m): (\xi_1,...,\xi_{n-1}) \in [0,1]^{n-1}\Big\}\]associated with the decomposition adapted to hypersufaces of finite
Externí odkaz:
http://arxiv.org/abs/2202.11326
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2025 541(1)
In this paper, we consider $L^p$- estimate for a class of oscillatory integral operators satisfying the Carleson-Sj\"olin conditions with further convex and straight assumptions. As applications, the multiplier problem related to a general class of h
Externí odkaz:
http://arxiv.org/abs/2201.01021
In this paper, we establish the sharp $k$-broad estimate for a class of phase functions satisfying the homogeneous convex conditions. As an application, we obtain improved local smoothing estimates for the half-wave operator in dimensions $n\ge3$. As
Externí odkaz:
http://arxiv.org/abs/2108.06870
In this paper, we study the solutions to the energy-critical quadratic nonlinear Schr\"odinger system in ${\dot H}^1\times{\dot H}^1$, where the sign of its potential energy can not be determined directly. If the initial data ${\rm u}_0$ is radial or
Externí odkaz:
http://arxiv.org/abs/2107.05299
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 sharp local smoothing estimates for $2+1$ dimensional Fourier integral o
Externí odkaz:
http://arxiv.org/abs/2010.14390
Publikováno v:
Bull. London Math. Soc., 2022, 54-70
In this paper, we consider the local smoothing estimate of fractional Schr\"{o}dinger operator $e^{it(-\Delta)^{\alpha/2}}$ with $\alpha>1$. Using the $k$-broad "norm" estimate developed by Guth, we improve the previous best results of local smoothin
Externí odkaz:
http://arxiv.org/abs/2001.08574
We establish certain square function estimates for a class of oscillatory integral operators with homogeneous phase functions. These results are employed to deduce a refinement of a previous result of Mockenhaupt Seeger and Sogge \cite{MSS-jams} on t
Externí odkaz:
http://arxiv.org/abs/1901.01487
Publikováno v:
Forum Mathematicum July 16, 2020, Volume 32 Issue 6
In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate $L^p_\alpha\rightarrow L^p$ for the Fourier integral operators satisfying cinematic curvature condition is furth
Externí odkaz:
http://arxiv.org/abs/1901.01489
Publikováno v:
In Journal of Functional Analysis 1 May 2023 284(9)