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math.AP2024
Constructions of bounded solutions of in critical spaces
Albert Cohen, Ronald DeVore, Eitan Tadmor
We construct uniformly bounded solutions of the equation for arbitrary data in the critical spaces , where is a domain of . Thi…
math.OC2024
Swarm-based gradient descent meets simulated annealing
Zhiyan Ding, Martin Guerra, Qin Li +1
We introduce a novel method for non-convex optimization, called Swarm-based Simulated Annealing (SSA), which is at the interface between the swarm-based gradient-descent (SBGD) [J.…
math.AP2024★ 1 cited
Critical thresholds in pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We investigate the critical threshold phenomena in a large class of one dimensional pressureless Euler--Poisson (EP) equations, with non-vanishing background states. First, we esta…