Xu Yuan

activity

20182026

most citedLong-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation

16 citations · 29 across the 12 of their papers we have counts for

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2 papers · 1 filter

math.NT2026

Quantitative lower bound for Pythagorean pairs in boxes of prime powers

Rongzhong Xiao

For each positive integer $N$ , let $p_{i}$ be the $i$ -th prime for $i \in {1, \dots, N}$ , and set $Φ_{N} = {i = 1 \prod N p_{i}^{a_{i}} : a_{i} \in {0, 1, \dots, N - 1}} .$ Write $f(…

math.AP2026

Generically sharp decay and blowing up at infinity for a weak null wave system

Shijie Dong, Siyuan Ma, Yue Ma +1

We study a system of semilinear wave equations satisfying the weak null condition, which can be regarded as a simplified model for the Einstein vacuum equations. The main objective…