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Nonlinear Partial Differential Equations

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RIMS Symposium (open)

Harmonic Analysis and

Nonlinear Partial Differential Equations

Organizers Yutaka Terasawa

(Graduate School of Mathematics, Nagoya University)

Satoshi Masaki

(School of Engineering Science, Osaka University)

Date: 2022, July 11th (Mon) 13:15 – July 13th(Wed)11:45

Venue: Room 420, Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto

Program

July 11th (Mon)

13:15 – 14:15 Haruya Mizutani (Osaka University)

Lp-boundedness of wave operators for fourth-order Schr¨odinger opera- tors in one space dimension

14:30 – 15:30 Gerd Grubb (University of Copenhagen)

Fourier methods for fractional-order operators I 15:45 – 16:45 Gerd Grubb (University of Copenhagen)

Fourier methods for fractional-order operators II July 12th (Tue)

9:00 – 10:00 Ikkei Shimizu (Osaka University)

Profile decomposition for the Schr¨odinger propagator on star graphs and its application to nonlinear problems

10:15 – 11:15 Hitoshi Tanaka (National University Cooperation Tsukuba University of Technology)

Choquet integrals, Hausdorff content and sparse operators 11:15 – 13:15 Lunch break

13:15 – 14:15 Makiko Sasada (The University of Tokyo)

Hydrodynamic limit of interacting particle systems and partial differen- tial equations

14:30 – 15:30 Moritz Kassmann (Bielefeld University)

Energy methods for nonlocal problems and transitions to local problems 15:45 – 16:45 Luca Scarpa (Politecnico di Milano)

Nonlocal-to-local convergence of Cahn-Hilliard equations: asymptotic analysis and applications

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July 13th (Wed)

9:30 – 10:30 Shinya Kinoshita (Saitama University)

Boundary Strichartz estimates for orthonormal initial data 10:45 – 11:45 Nakao Hayashi (Tohoku University)

Critical exponent of small solutions to the Nonlinear Schroedinger equa- tion with a nonlinear Neumann boundary condition

Supported by

参照

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