Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-review


    The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.

    Original languageEnglish
    Pages (from-to)99-102
    Number of pages4
    JournalProceedings of the Japan Academy Series A: Mathematical Sciences
    Issue number6
    Publication statusPublished - Jun 2011

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)


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