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math.AP2026
Scattering below the ground state for the three-dimensional focusing energy-critical NLS
Qingtang Su, Zehua Zhao
We prove global well-posedness and scattering for the three-dimensional focusing energy-critical nonlinear Schrödinger equation with initial data below the ground-state energy and…
math.AP2026
Global well-posedness and scattering for the three-dimensional defocusing cubic Schrödinger equation in ,
Qingtang Su, Zehua Zhao
We prove global well-posedness and scattering for the three-dimensional defocusing cubic nonlinear Schrödinger equation with arbitrary initial data in , ,…
math.CA2026
Full-radius dimension-free maximal inequalities for discrete Euclidean balls
Kaiwen Jin, Qingtang Su
For every , we prove dimension-free maximal inequalities over all radii for normalized averages over Euclidean balls in . In particular, this settles the…