A direct method for global nonexistence of one dimensional wave equation with nonlinear boundary-source

Hongyinping Feng (), Shengjia Li and Xia Zhi
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Hongyinping Feng: Shanxi University
Shengjia Li: Shanxi University
Xia Zhi: Shanxi Police Academy

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 5, 683-694

Abstract: Abstract In this paper, we propose a direct approach to obtain blow-up solution to a one dimensional nonlinear wave equation. The key point, which is different from the previous works, is that the dissipation of the energy will not be used. So our method can be applied to the non-dissipative system.

Keywords: Blow up; boundary source; nonlinear wave equation; non-dissipative system (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0036-5

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