4.6 Article

A note on finite time blowup for dissipative Klein-Gordon equation

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2019.111729

Keywords

Klein-Gordon equation; Finite time blowup; Dissipative term; Arbitrarily positive initial energy

Funding

  1. National Natural Science Foundation of China [11801114]
  2. Heilongjiang Postdoctoral Foundation [LBH-Z15036]
  3. Fundamental Research Funds for the Central Universities
  4. China Scholarship Council [201706685064]

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This is a continuation of the study on an arbitrarily positive initial energy finite time blowup result of the solution to the initial value problem of strongly damped Klein-Gordon equation. Based on an adapted concavity method, both the conclusions and arguments of the present paper are not bounded by the coefficients of dissipative damping terms. (C) 2019 Elsevier Ltd. All rights reserved.

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