Finite time blow‐up for a kind of initial‐boundary value problem of semilinear damped wave equation | Zendy

Lai Ningan | Zendy; Yin Silu | Zendy

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Finite time blow‐up for a kind of initial‐boundary value problem of semilinear damped wave equation

Author(s) -

Lai Ningan,

Yin Silu

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4046

Subject(s) - mathematics , wave equation , boundary value problem , mathematical analysis , initial value problem , domain (mathematical analysis) , argument (complex analysis) , power (physics) , contradiction , function (biology) , boundary (topology) , physics , biochemistry , chemistry , quantum mechanics , evolutionary biology , biology , philosophy , epistemology

In this paper, we consider the initial‐boundary value problem of semilinear damped wave equation u t t −Δ u + u t =| u | p with power p = 1 + 2 nin an exterior domain. Blow‐up result in a finite time will be established in higher dimensions ( n ≥3), no matter how small the initial data are. A special test function will be constructed, and then, we obtain the blow‐up result by a contradiction argument. Copyright © 2016 John Wiley & Sons, Ltd.

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