Search

Your search keyword '"Segata, Jun-ichi"' showing total 4 results
Start Over Author "Segata, Jun-ichi" Topic 35q53
4 results on '"Segata, Jun-ichi"'

2. Refinement of Strichartz estimates for Airy equation and application (Regularity, singularity and long time behavior for partial differential equations with conservation law)

Author

Masaki, Satoshi and Segata, Jun-ichi

Subjects
35B30, threshold solution, Nonlinear Sciences::Exactly Solvable and Integrable Systems, 35Q53, scattering problem, 35B40, Mathematics::Analysis of PDEs, generalized Korteweg-de Vries equation, Nonlinear Sciences::Pattern Formation and Solitons
Abstract

In this paper we review our recent results [19, 20] on the refinement of the Strichartz estimate for the Airy equation. As an application of this estimate, we construct a minimal non-scattering solution to the mass sub-critical generalized Korteweg-de Vries equation., "Regularity, singularity and long time behavior for partial differential equations with conservation law". June 6-8, 2016. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

Published
2020

3. A note on Strichartz estimates for Airy equation and its application (Harmonic Analysis and Nonlinear Partial Differential Equations)

Author

Masaki, Satoshi and Segata, Jun-ichi

Subjects
Morrey space, 35Q53, scattering problem, 35B40, generalized Korteweg-de Vries equation
Abstract

"Harmonic Analysis and Nonlinear Partial Differential Equations". June 25-27, 2018. edited by Hideo Takaoka and Satoshi Masaki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

Published
2019

4. WKB analysis of the Schrödinger–KdV system.

Author

Lin, Chi-Kun and Segata, Jun-ichi

Subjects
*SCHRODINGER equation, *WATER waves, *LIMIT theorems, *EXISTENCE theorems, *DERIVATIVES (Mathematics), *NUMERICAL solutions to wave equations, *APPROXIMATION theory
Abstract

Abstract: We consider the behavior of solutions to the water wave interaction equations in the limit . To justify the semiclassical approximation, we reduce the water wave interaction equation into some hyperbolic-dispersive system by using a modified Madelung transform. The reduced system causes loss of derivatives which prevents us to apply the classical energy method to prove the existence of solution. To overcome this difficulty we introduce a modified energy method and construct the solution to the reduced system. [Copyright &y& Elsevier]

Published
2014
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results