supported by the National Natural Science Foundation of China(No.12171082);the Fundamental Research Funds for the Central Universities(No.2232023G-13).
In this paper,we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term f satisfies critical exponential growth and the external force g(x)∈L^(2)...
supported by FAPESQ/Brazil(Grant No.3031/2021);supported by CNPq/Brazil(Grant No.309.692/2020-2)and FAPESQ/Brazil(Grant No.3031/2021).
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),wher...
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]....
funded by the Youth Science Fund of the National Natural Science Foundation of China(Project No.51708370)。
A key objective of the Outline on the Development of Chinese Children(2021–2030)is to establish child-friendly cities and communities.Clarifying the characteristics of informal children's activity spaces and understa...
Zhejiang University was sponsored by the National Natural Science Foundation of China(NNSFC)under grant nos.62071424,62201499,and 62027805。
Pushing the information states'acquisition efficiency has been a long-held goal to reach the measurement precision limit inside scattering spaces.Recent studies have indicated that maximal information states can be at...
Thanks to the Education Department of the Basque Government for conceding a grant to Aimar Santos-Garcia(Grant No.PRE_2023_2_0237),giving financial support for developing a PhD thesis,and to the Department of Architecture of the University of the Basque Country for funding the publication of this paper.
Experts question why cities, which are supposedly built for citizens, fail to addresstheir social needs. Everyday life is challenging in our cities, especially because public spaceshave generally been arranged and des...
supported by NSF under Grant No.ECCS-2347357;AFOSR under Grant No.FA9550-24-1-0278;ARO under Grant No.W911NF-22-1-0292.
Evanescent random walks are instances of stochastic processes that terminate at a specific rate.They have proved relevant in modeling diverse behaviors of complex systems from protein degradation in gene networks(Ali ...
partially supported by the National Science Foundation under Grant No.DMS-2106556;by the Susan M.Smith chair;partially supported by the Natural Sciences and Engineering Research Council(NSERC)of Canada。
The authors study an approximation method for partially observed Markov decision processes(POMDPs)with continuous spaces.Belief MDP reduction,which has been the standard approach to study POMDPs requires rigorous appr...
Supported by Grant-in-Aid for Scientific Research(C)(Grant No.21K03304);Japan Society for the Promotion of Science;the Research Institute for Mathematical Sciences,an International Joint Usage/Research Center located in Kyoto University。
In this paper we extend the duality(C_(comp)^(∞)(R^(d))^(BMO(R^d))))^(∗)=H^(1)(R^(d))to generalized Campanato spaces with variable growth condition Lp,φ(R^(d))instead of BMO(R^(d)).We also extend the characterizatio...
China is pushing to develop child-friendly cities Li Jingyu,a 10-year-old student from Peixin Primary School in Beijing’s Dongcheng District,has been an art enthusiast for six years.On 3 November,one of her creations...