Inui, Takahisa; Machihara, Shuji Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation. (English) Zbl 1502.35008 J. Hyperbolic Differ. Equ. 19, No. 3, 407-437 (2022). MSC: 35B25 35L15 35L71 35K58 35A35 PDFBibTeX XMLCite \textit{T. Inui} and \textit{S. Machihara}, J. Hyperbolic Differ. Equ. 19, No. 3, 407--437 (2022; Zbl 1502.35008) Full Text: DOI arXiv
Fukuizumi, Reika; Hoshino, Masato; Inui, Takahisa Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein-Gordon equation. (English) Zbl 1491.35293 Nonlinearity 35, No. 6, 2878-2919 (2022); corrigendum ibid. 35, No. 10, C17-C19 (2022). MSC: 35L71 35A35 35R60 60H15 PDFBibTeX XMLCite \textit{R. Fukuizumi} et al., Nonlinearity 35, No. 6, 2878--2919 (2022; Zbl 1491.35293) Full Text: DOI arXiv
Inui, Takahisa; Wakasugi, Yuta Unconditional well-posedness for the energy-critical nonlinear damped wave equation. (English) Zbl 1481.35281 J. Evol. Equ. 21, No. 4, 5171-5201 (2021). MSC: 35L71 35A02 35L15 PDFBibTeX XMLCite \textit{T. Inui} and \textit{Y. Wakasugi}, J. Evol. Equ. 21, No. 4, 5171--5201 (2021; Zbl 1481.35281) Full Text: DOI
Inui, Takahisa Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates. (English) Zbl 1471.35046 Georgiev, Vladimir (ed.) et al., Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session “Harmonic analysis and partial differential equations”, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Birkhäuser. Trends Math., 253-262 (2020). MSC: 35B40 35L15 35L71 PDFBibTeX XMLCite \textit{T. Inui}, in: Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session ``Harmonic analysis and partial differential equations'', Aveiro, Portugal, July 29 -- August 2, 2019. Cham: Birkhäuser. 253--262 (2020; Zbl 1471.35046) Full Text: DOI