Diffusion phenomenon for second order linear evolution equations

Ryo Ikehata, Kenji Nishihara

    Research output: Contribution to journal › Article

    32 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

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)

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