2 papers
math.AP2025
Sharp bilinear eigenfunction estimate, -type Strichartz estimate, and energy-critical NLS
Yangkendi Deng, Yunfeng Zhang, Zehua Zhao
We establish sharp bilinear eigenfunction estimates for the Laplace-Beltrami operator on the standard three-sphere , eliminating the logarithmic loss that has persist…
math.AP2024
Global well-posedness and equicontinuity for mKdV in modulation spaces
Saikatul Haque, Rowan Killip, Monica Visan +1
We establish global well-posedness for both the defocusing and focusing complex-valued modified Korteweg--de Vries equations on the real line in modulation spaces $M_p^{s,2}(\mathb…