Articles

Normed modules and the categorification of integrations, series expansions, and differentiations

Pages 571–614

Yu-Zhe Liu, Shengda Liu, Zhaoyong Huang & Panyue Zhou

Concavity property of minimal L2 integrals with Lebesgue measurable gain VI: Fibrations over products of open Riemann surfaces

Pages 615–666

Shijie Bao, Qi’an Guan & Zheng Yuan

Global smooth solutions of 2D quasilinear wave equations with higher-order null conditions and short pulse initial data

Pages 667–736

Bingbing Ding, Zhouping Xin & Huicheng Yin

A Liouville theorem for the helically symmetric steady Navier-Stokes system in ℝ3

Pages 737–746

Jingwen Han, Yun Wang & Chunjing Xie

Second-order necessary optimality conditions for multi-objective optimal control problems on Riemannian manifolds

Pages 747–772

Li Deng

A weighted Reilly formula for differential forms and sharp Steklov eigenvalue estimates

Pages 773–792

Changwei Xiong

Interpreting deep learning by establishing a rigorous corresponding relationship with the renormalization group on the Ising model

Pages 793–812

Zigeng Xia & Fuzhou Gong

Improved pseudo maximum likelihood estimation for survey data

Pages 813–834

Ziheng Feng & Xianpeng Zong

Maximum bound principle preserving exponential time differencing schemes for the penalized Allen-Cahn-Ohta-Kawasaki model

Pages 835–856

Yingying Wang, Xiao Li & Zhengru Zhang