ncku-talk2024-04-03

Analysis Seminar

DATE 2024-04-03　16:10-17:00

PLACE 數學系館 3F會議室

SPEAKER Professor Tomoyuki Tanaka (田中智之)（Faculty of Science and Engineering, Doshisha University ）

TITLE Unconditional Well-Posedness for Generalized KdV Type Equations on the Torus

ABSTRACT We consider the Cauchy problem for one-dimensional dispersive equations with a general nonlinearity in the periodic setting. Our equation contains some important models such as the generalized KdV equation and the Benjamin-Ono equation. We prove the local well-posedness and the unconditional uniqueness of the solution. The main ingredients are Strichartz type estimates and a kind of the normal form reduction. This talk is based on the joint work (arXiv:2207.08725) with Luc Molinet (Universit? de Tours).

Analysis Seminar

DATE	2024-04-03　16:10-17:00

PLACE	數學系館 3F會議室

SPEAKER	Professor Tomoyuki Tanaka (田中智之)（Faculty of Science and Engineering, Doshisha University ）

TITLE	Unconditional Well-Posedness for Generalized KdV Type Equations on the Torus

ABSTRACT	We consider the Cauchy problem for one-dimensional dispersive equations with a general nonlinearity in the periodic setting. Our equation contains some important models such as the generalized KdV equation and the Benjamin-Ono equation. We prove the local well-posedness and the unconditional uniqueness of the solution. The main ingredients are Strichartz type estimates and a kind of the normal form reduction. This talk is based on the joint work (arXiv:2207.08725) with Luc Molinet (Universit? de Tours).