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Zeitschrift für Analysis und ihre Anwendungen


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Volume 30, Issue 4, 2011, pp. 377–386
DOI: 10.4171/ZAA/1440

Published online: 2011-09-29

Global Existence and Nonexistence of Solution to a Nonlinear Wave Equation

Nana Pan[1]

(1) Zhejiang Normal University, Jinhua, China

In this paper we focus on a nonlinear wave equation, we show that the solution blows up in finite time under certain conditions, and we obtain two results on the global existence of solution and large time behavior.

Keywords: Global existence, global nonexistence, decay rate

Pan Nana: Global Existence and Nonexistence of Solution to a Nonlinear Wave Equation. Z. Anal. Anwend. 30 (2011), 377-386. doi: 10.4171/ZAA/1440