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NAKANISHI, Kenji. My research subject is mathematical analysis of partial differential equations, mainly of those called nonlinear wave equations or nonlinear dispersive equations, which describe space-time evolution of waves with strong interactions, arising in several physical contexts, such as plasma, superfluid, and water waves.
Kenji NAKANISHI, Professor | Cited by 3,589 | of Kyoto University, Kyoto (Kyodai) | Read 88 publications | Contact Kenji NAKANISHI
Kenji Nakanishi (中西健治, Nakanishi Kenji, Born January 4, 1964) is a Japanese politician and member of the House of Councillors from Kanagawa. A former executive of JP Morgan Securities Japan, he was elected to the House of Councillors in 2010 as a member of Your Party for the Kanagawa at-large district, and he later joined the Liberal ...
Nakanishi, Kenji. Research Institute for Mathematical Sciences (RIMS) Professor. Basic Information. Research. Education. Administration. Affiliated programs (koza) Faculty. Academic Degree.
Jul 22, 2010 · Kenji Nakanishi, Wilhelm Schlag. We extend our previous result on the nonlinear Klein-Gordon equation to the nonlinear Schrodinger equation with the focusing cubic nonlinearity in three dimensions, for radial data of energy at most slightly above that of the ground state.
- Kenji Nakanishi, Wilhelm Schlag
- arXiv:1007.4025 [math.AP]
- 2010
- 35L70, 35Q55
Sep 8, 2021 · Kenjiro Ishizuka, Kenji Nakanishi. Global behavior of solutions is studied for the nonlinear Klein-Gordon equation with a focusing power nonlinearity and a damping term in the energy space on the Euclidean space.
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This article reviews some results, as well as open questions, on global behavior of general solutions for nonlinear dispersive equations, with an emphasis on transitions of solutions around solitons with respect to time evolution and initial perturbation.
