supported by Natural Science Foundation of Shanxi Province of China(Grant No.201901D211276);Fundamental Research Program of Shanxi Province(Grant Nos.20210302123045 and 202103021223182);National Natural Science Foundation of China(Grant No.11601446).
This paper is concerned with blow-up dynamics of solutions to coupled sys-tems of damped inhomogeneous wave equations with power nonlinearities related to weight function t^(α)|x|^(β)and variable boundary conditions...
supported by the Scientific and Technological Innovation Programs of Higher Education Programs in Shanxi(Grant No.2021L015);Fundamental Research Program of Shanxi Province(Grant No.202103021223038)
As a generalization of global mappings,we study a class of non-global map-pings in this note.Let A⊆B(H)be a von Neumann algebra without abelian direct summands.We prove that if a mapδ:A→A satisfiesδ([[A,B]_(*),C])...
supported by GNSAGA of INdAM;funded by the Municipal Science and Technology Commission.
We present a formula for the third derivative of the distribution function of a regular function on a domain of R^(n+1),and a further discussion of the extra assumption that the function is harmonic.The present work b...
The initial boundary value problem for a compressible Euler system out-side a ball in R^(3)is considered in this paper.Assuming the initial data have small and compact supported perturbations near a constant state,we ...
supported by National Natural Science Foundation of China(Grant No.11901047);the Fundamental Research Funds for the Central Universities(Grant No.500421126).
In this paper,we consider the boundedness and compactness of the multi-linear singular integral operator on Morrey spaces,which is defined by T_(A)f(x)=p.v.∫_(R^(n))Ω(x-y)/|x-y|^(n+1)R(A;x,y)f(y)dy,where R(A;x,y)=A(...
supported by the National Natural Science Foundation of China(Grant No.12301272);the Natural Science Foundation of Henan(Grant No.202300410109);the Cultivation Programme for Young Backbone Teachers in Henan University of Technology;the Innovative Funds Plan of Henan University of Technology(Grant No.2020ZKCJ09)
We investigate the Cauchy problem for the sixth order p-generalized Benney-Luke equation.The local well-posedness is established in the energy space H^(1)(R^(n))∩H^(3)(R^(n))for 1≤n≤10,by means of the Sobolev multi...
supported by National Natural Science Foundation of China(Grant No.12071120);China Scholarship Council(Grant No.202306540088).
It is well known that weak n-tilting modules are vital in tilting theory,which are generalizations of n-tilting and n-cotilting modules.The aim of this paper is to give a new characterization of weak n-tilting modules...
supported by the National Natural Science Foundation of China(Grant No.12161022).
In this paper we obtain the boundedness of non-regular pseudo-differential operators with symbols in Besov spaces on matrix-weighted Besov-Triebel-Lizorkin spaces.These symbols include the classical Hörmander classes.
supported in part by the United States-Israel Binational Science Foundation(Grant No.2016106).
Conformation changes control the function of many proteins and thus much of biology.But it is not always clear what conformation means:is it the distribution of mass?Is it the distribution of permanent charge,like tha...
supported by Presidential Summer Incentive Award 2023-24,University of North Georgia;supported by the National Science Foundation of USA grants DMS 2104682 and 2309748
We study the global well-posedness of the initial-value problem for the 2D Boussinesq-Navier-Stokes equations with dissipation given by an operator L that can be defined through both an integral kernel and a Fourier m...