SMOOTHING

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STRICHARTZ AND SMOOTHING ESTIMATES FOR DISPERSIVE SEMI-GROUP e^(-itP(D)) IN WEIGHTED L^(2) SPACES AND THEIR APPLICATIONS
《Acta Mathematica Scientia》2025年第2期401-415,共15页Jiecheng CHEN Shaolei RU Chenjing WU 
supported by the NSFC(12071437);the National Key R&D Program of China(2022YFA1005700).
Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1]....
关键词：Strichartz estimates smoothing estimates Morrey-Campanato class weighted L^(2)spaces WELL-POSEDNESS 
EXISTENCE AND STABILITY OF PERIODIC AND ALMOST PERIODIC SOLUTIONS TO THE BOUSSINESQ SYSTEM IN UNBOUNDED DOMAINS
《Acta Mathematica Scientia》2022年第5期1875-1901,共27页Thieu Huy NGUYEN Truong Xuan PHAM Thi Ngoc Ha VU The Sac LE 
financially supported by the Vietnam National Foundation for Science and Technology Development under grant number 101.02-2021.04;financially supported by Vietnam Ministry of Education and Training under Project B2022-BKA-06.
In this paper we investigate the existence and stability of periodic solutions(on a half-line R_(+))and almost periodic solutions on the whole line time-axis R to the Boussinesq system on several classes of unbounded ...
关键词：Boussinesq systems periodic solutions almost periodic solutions unbounded domains smoothing estimates dual estimates interpolation spaces STABILITY 
ANALYTICAL SMOOTHING EFFECT OF SOLUTION FOR THE BOUSSINESQ EQUATIONS被引量：1
《Acta Mathematica Scientia》2019年第1期165-179,共15页Feng CHENG Chao jiang XU 
supported partially by "The Fundamental Research Funds for Central Universities of China"
In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H^1 -solution to the incompressib...
关键词：ANALYTICITY SMOOTHING effect of SOLUTIONS BOUSSINESQ EQUATION 
SMOOTHING NEWTON ALGORITHM FOR THE CIRCULAR CONE PROGRAMMING WITH A NONMONOTONE LINE SEARCH被引量：8
《Acta Mathematica Scientia》2017年第5期1262-1280,共19页迟晓妮 韦洪锦 万仲平 朱志斌 
supported by the National Natural Science Foundation of China(11401126,71471140 and 11361018);Guangxi Natural Science Foundation(2016GXNSFBA380102 and 2014GXNSFFA118001);Guangxi Key Laboratory of Cryptography and Information Security(GCIS201618);Guangxi Key Laboratory of Automatic Detecting Technology and Instruments(YQ15112 and YQ16112);China
In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming(CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space w...
关键词：circular cone programming second-order cone programming nonmonotone line search smoothing Newton method local quadratic convergence 
SMOOTHING ESTIMATES OF THE RADIAL SCHRO ¨DINGER PROPAGATOR IN DIMENSIONS n≥2
《Acta Mathematica Scientia》2010年第6期2103-2109,共7页李栋 张晓轶 
supported in part by NSF Grant-0908032;a start-up funding from University of Iowa;supported by an Alfred P. Sloan fellowship
The usual Kato smoothing estimate for the Schrodinger propagator in 1D takes the form ｜｜｜δx｜1/2eitθxxu0｜｜ Lx∞Lt2〈∽｜｜u0｜｜Lx2. In dimensions n ≥ 2 the smoothing estimate involves certain localization t...
关键词：SchrSdinger equation smoothing estimate 
HAZARD REGRESSION WITH PENALIZED SPLINE:THE SMOOTHING PARAMETER CHOICE AND ASYMPTOTICS被引量：1
《Acta Mathematica Scientia》2010年第5期1759-1768,共10页童行伟 胡涛 崔恒建 
supported by the Natural Science Foundation of China(10771017,10971015,10231030);Key Project to Ministry of Education of the People’s Republic of China(309007)
In this article, we use penalized spline to estimate the hazard function from a set of censored failure time data. A new approach to estimate the amount of smoothing is provided. Under regularity conditions we establi...
关键词：proportional hazards penalized spline smoothing parameter choice asymptotic normality 
EFFICIENT ESTIMATION OF FUNCTIONAL-COEFFICIENT REGRESSION MODELS WITH DIFFERENT SMOOTHING VARIABLES被引量：5
《Acta Mathematica Scientia》2008年第4期989-997,共9页张日权 李国英 
the Shanxi NaturalScience Foundation(2007011014)
In this article,a procedure for estimating the coefficient functions on the functional-coefficient regression models with different smoothing variables in different coefficient functions is defined.First step,by the l...
关键词：Asymptotic normality averaged method different smoothing variables functional-coefficient regression models local linear method one-step back-fitting procedure 
ESTIMATORS AND SOME BEHAVIORS FORA PARTIALLY LINEAR MODEL WITH CENSORED DATA被引量：2
《Acta Mathematica Scientia》1999年第3期321-331,共11页陈平 
This paper considers the local linear regression estimators for partially linear model with censored data. Which have some nice large-sample behaviors and are easy to implement. By many simulation runs, the author als...
关键词：partial linear model censored data local linear smoothing cross-validation kernel estimator 
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