A local L^(p) estimate is proved by using theσ-uniformity,which is motivated by the study of the Stein–Tomas type restriction theorems and Waring's problem.
We give a proof of an explicit formula for affine coodinates of points in the Sato’s infinite Grassmannian corresponding to tau-functions for the KdV hierarchy.
supported by the NSFC(No.12031006);the Fundamental Research Funds for the Central Universities of China.
In this note,we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time va...
supported by the National Research Development and Innovation Office of Hungary,NKFIH,KKP 133819。
The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann's zeta-function which are sufficiently strong to break the density hypothesis for Re s>7/8.Apart from a simp...
supported in part by the Natural Science Foundation of China(Grant Nos.12171399 and 11871101).
This paper studies the weighted(L^(p),L^(r))-boundedness for a class of multi-linear oscillatory singular operators with real-valued polynomial phases and rough homogeneous kernels belonging to Llog^(+)L(S^(n-1)),and ...
In the author’s previous paper,we considered the equivalent conditions with W^(−m,p(·))-version(m≥0 integer)of the J.L.Lions Lemma,where p(·)is a variable exponent.In this paper,we directly derive W−m,p(·)-versio...
On December 1,2016,the Indian Council for Cultural Relations(ICCR)held a grand award ceremony at the Rashtrapati Bhavan in New Delhi,at which then Indian President Pranab Mukherjee presented me with the Distinguished ...
S.Engu was supported by Council of Scientific and Industrial Research,India (File no. 25 (0302)/19/EMR-Ⅱ)。
The existence, uniqueness and regularity of solutions to the Cauchy problem posed for a nonhomogeneous viscous Burger's equation were shown in Chung, Kim and Slemrod [1] by assuming suitable conditions on initial data...
In this study, we consider the problem of triangulated graphs. Precisely we give a necessary and sufficient condition for a graph to be triangulated. This gives an alternative characterization of triangulated graphs. ...
Xi Jinping,general secretary of the Communist Party of China Central Committee,has called on the nation to strengthen its basic research to consolidate self-reliance and strength in science and technology.He made the ...