Diffusion phenomenon for second order linear evolution equations

Ryo Ikehata, Kenji Nishihara

    Research output: Contribution to journal › Article

    31 Citations (Scopus)

    Abstract

    We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hubert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.

    Original languageEnglish
    Pages (from-to)153-161
    Number of pages9
    JournalStudia Mathematica
    Volume158
    Issue number2
    Publication statusPublished - 2003

    Fingerprint

    Evolution Equation
    Linear equation
    Hubert Space
    Unbounded Domain
    Damped
    Wave equation

    Keywords

    • Asymptotic profile
    • Dissipative wave equations
    • Heat equations
    • Optimum decay rate

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Ikehata, R., & Nishihara, K. (2003). Diffusion phenomenon for second order linear evolution equations. Studia Mathematica, 158(2), 153-161.

    Diffusion phenomenon for second order linear evolution equations. / Ikehata, Ryo; Nishihara, Kenji.

    In: Studia Mathematica, Vol. 158, No. 2, 2003, p. 153-161.

    Research output: Contribution to journal › Article

    Ikehata, R & Nishihara, K 2003, 'Diffusion phenomenon for second order linear evolution equations', Studia Mathematica, vol. 158, no. 2, pp. 153-161.
    Ikehata R, Nishihara K. Diffusion phenomenon for second order linear evolution equations. Studia Mathematica. 2003;158(2):153-161.
    Ikehata, Ryo ; Nishihara, Kenji. / Diffusion phenomenon for second order linear evolution equations. In: Studia Mathematica. 2003 ; Vol. 158, No. 2. pp. 153-161.
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