Speaker : Prof. Derchyi Wu (Academia Sinica) Title : On perturbed Kadomtsev-Petviashvili II line solitons Time : 2017-05-22 (Mon) 11:00 - 14:00 Place : Seminar Room 722, Institute of Mathematics (NTU Campus) Abstract: The inverse scattering theory of perturbed Kadomtsev-Petviashvili II one line solitons is completed by providing rigorous spectral analysis to solve a singular Cauchy integral equation. An existence theorem for global $L^\infty$-solution for the Cauchy problem of the perturbed KPII 1 line solitons is justified by deriving a functional calculus of the evolution equation based on the inverse scattering theory.