Global nonexistence for an integro‐differential equation | Zendy

Wu ShunTang | Zendy; Lin ChingYan | Zendy

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Global nonexistence for an integro‐differential equation

Author(s) -

Wu ShunTang,

Lin ChingYan

Publication year - 2011

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.1535

Subject(s) - mathematics , bounded function , domain (mathematical analysis) , boundary value problem , work (physics) , nonlinear system , differential equation , mathematical analysis , integro differential equation , initial value problem , energy (signal processing) , first order partial differential equation , physics , quantum mechanics , thermodynamics , statistics

The initial boundary value problem for an integro‐differential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori et al. in 2010, we establish the nonexistence result of global solutions with the initial energy controlled by a critical value. This improves earlier results in the literatures. Copyright © 2011 John Wiley & Sons, Ltd.

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