• Existence of ground states for fourth-order wave equations

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    Existence of ground states for fourth-order wave equations.pdf (320.6 KB)

    Date

    2010

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    Elsevier

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    Citation

    Paschalis Karageorgis, P.J. McKenna, Existence of ground states for fourth-order wave equations, Nonlinear Analysis: Theory, Methods & Applications, 73, 2, 2010, 367-373

    Abstract

    Focusing on the fourth-order wave equation utt+?2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds and a variety of nonlinearities f.

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    PUBLISHED

    URI

    http://hdl.handle.net/2262/40579

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    Pure & Applied Mathematics (Scholarly Publications)
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    Keywords

    Mathematics, Ground states, Fourth-order wave equations
    Author's Homepage: http://people.tcd.ie/karageop

    Author: KARAGEORGIS, PASCHALIS

    Publisher: Elsevier
    Type of material: Journal Article