3 papers
math.AP2026
Strichartz Estimates and Small-Mass Global Well-Posedness for the Periodic Quintic NLS in 1D
Nikolaos Skouloudis, Jiahui Yu
We consider the periodic quintic nonlinear Schrödinger and prove small-mass global well-posedness in for . The proof relies on a new derivative-loss-free $L^…
math.AP2025
Global Well-posedness for the periodic fractional cubic NLS in 1D
Alexandre Megretski, Nikolaos Skouloudis
We consider the defocusing periodic fractional nonlinear Schrödinger equation where and the oper…
eess.SY2022
Mathematical certification of motion planning on uncertain terrain with limited perception: a case study
Nikolaos Skouloudis, Alexandre Megretski
We design a controller for an agent whose mission is to reach a stationary target while avoiding a family of obstacles which are not known a-priori. The agent moves in the two dime…