トップ研究者を探す消散構造を持つ非線形波動方程式の解の大域挙動

消散構造を持つ非線形波動方程式の解の大域挙動

KAKEN 科学研究費助成事業データベース で見る
研究課題番号 KAKENHI-PROJECT-16K17625
研究種目 若手研究(B)
研究分野 理工系
数物系科学
数学
数学解析
研究機関 広島大学
愛媛大学
代表研究者 若杉 勇太
研究期間 開始年月日 2016/4/1
研究期間 終了年度 2021
研究ステータス 完了 (2021/4/1)
配分額(合計) 3,120,000 (直接経費 :2,400,000、間接経費 :720,000)
配分額(履歴) 2019年度:650,000 (直接経費 :500,000、間接経費 :150,000)
2018年度:780,000 (直接経費 :600,000、間接経費 :180,000)
2017年度:780,000 (直接経費 :600,000、間接経費 :180,000)
2016年度:910,000 (直接経費 :700,000、間接経費 :210,000)
キーワード 消散型波動方程式
時間大域解
漸近挙動
解の爆発
臨界指数
FLRW計量
Navier-Stokes方程式
消散型梁方程式
非線形消散型波動方程式
時間大域的適切性
解の大域挙動
エネルギー臨界
集約的非線形項

研究成果

[学会発表] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity

若杉勇太 2022

[雑誌論文] Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions

Umeda Akihiro、Wakasugi Yuta、Yoshikawa Shuji 2022

[学会発表] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl

若杉勇太 2021

[学会発表] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime

若杉勇太 2021

[学会発表] Asymptotic behavior of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains

若杉勇太 2021

[学会発表] Weighted energy estimates for solutions to the wave equation with space-dependent damping

若杉勇太 2021

[学会発表] 吸収型非線形項と空間変数に依存する摩擦項をもつ波動方程式のエネルギー減衰について

若杉勇太 2021

[学会発表] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity

若杉勇太 2021

[学会発表] Blow up of solutions of semilinear wave equations in de Sitter spacetime

若杉勇太 2021

[学会発表] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity

若杉勇太 2021

[学会発表] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces

若杉勇太 2021

[学会発表] 空間変数に依存する摩擦項をもつ波動方程式の解のエネルギー減衰

若杉勇太 2021

[雑誌論文] Unconditional well-posedness for the energy-critical nonlinear damped wave equation

Inui Takahisa、Wakasugi Yuta 2021

[雑誌論文] Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaitre-Robertson-Walker spacetime

Tsutaya Kimitoshi、Wakasugi Yuta 2021

[雑誌論文] Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations

SOBAJIMA Motohiro、WAKASUGI Yuta 2021

[雑誌論文] On Glassey’s conjecture for semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime

Tsutaya Kimitoshi、Wakasugi Yuta 2021

[学会発表] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces

Yuta Wakasugi 2021

[雑誌論文] Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime

Tsutaya Kimitoshi、Wakasugi Yuta 2021

[学会発表] Endpoint Strichartz estimates for the damped wave equation

若杉勇太 2020

[雑誌論文] Movement of time-delayed hot spots in Euclidean space for a degenerate initial state

Sakata Shigehiro、Wakasugi Yuta 2020

[雑誌論文] Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations

FUJIWARA Kazumasa、IKEDA Masahiro、WAKASUGI Yuta 2020

[学会発表] Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime

Yuta Wakasugi 2020

[学会発表] Asymptotic profiles of solutions for the Cauchy problem of damped beam equation with two variable coefficients

若杉勇太 2019

[学会発表] 時間変数係数をもつ消散型波動方程式の解の2次漸近形について

若杉勇太 2019

[学会発表] Critical exponent for the semilinear wave equations with a damping increasing in the far field

若杉勇太 2019

[学会発表] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral

若杉勇太 2019

[学会発表] Asymptotic behavior of solutions to the wave equation with space-dependent damping and slowly decaying data

若杉勇太 2019

[学会発表] Endpoint Strichartz estimate for the damped wave equation and its application

若杉勇太 2019

[学会発表] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近挙動について

若杉勇太 2019

[学会発表] Endpoint Strichartz estimates for the damped wave equation

若杉勇太 2019

[学会発表] 消散型波動方程式に対するLp-Lq評価と非線形問題への応用

若杉勇太 2019

[学会発表] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近挙動について

若杉勇太 2019

[雑誌論文] A Remark on the Critical Exponent for the Semilinear Damped Wave Equation on the Half-Space

Wakasugi Yuta 2019

[雑誌論文] Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

Ikeda Masahiro、Wakasugi Yuta 2019

[雑誌論文] Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity

Fujiwara Kazumasa、Ikeda Masahiro、Wakasugi Yuta 2019

[学会発表] Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

Yuta Wakasugi 2019

[雑誌論文] Second order asymptotic expansion for wave equations with time- dependent dissipation in one-space dimension

Yuta Wakasugi 2019

[雑誌論文] Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping

Ikeda Masahiro、Sobajima Motohiro、Wakasugi Yuta 2019

[学会発表] 線形消散型波動方程式の解の時間減衰評価, 可積分でない初期値を持つ非線形問題の臨界指数

池田正弘,若杉勇太,戍亥隆恭,岡本葵 2018

[学会発表] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data

若杉勇太 2018

[学会発表] Critical exponent for the semilinear wave equation with a damping term depending on time and space variables

若杉勇太 2018

[学会発表] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

若杉勇太 2018

[雑誌論文] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity

Motohiro Sobajima, Yuta Wakasugi 2018

[雑誌論文] Critical exponent for the semilinear wave equations with a damping increasing in the far field

Nishihara Kenji、Sobajima Motohiro、Wakasugi Yuta 2018

[学会発表] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity

側島基宏,若杉勇太 2017

[学会発表] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data

側島基宏,若杉勇太 2017

[学会発表] Asymptotic behavior of solutions to the wave equation with space-dependent damping

Yuta Wakasugi 2017

[雑誌論文] Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi 2017

[学会発表] Asymptotic behavior of solutions to the wave equation with space-dependent damping

Yuta Wakasugi 2017

[学会発表] The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

若杉勇太 2016