On the existence of global solutions for a nonlinear Klein-Gordon equation
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The aim of this work is to study the global existence of solutions for the Cauchy problem of a Klein-Gordon equation with high energy initial data. The proof relies on constructing a new functional, which includes both the initial displacement and the initial velocity: with sign preserving property of the new functional we show the existence of global weak solutions.
2011 ◽
Vol 3
(3)
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pp. 349
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2014 ◽
pp. 33-39
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1988 ◽
Vol 12
(2)
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pp. 353-369
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2017 ◽
Vol 14
(04)
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pp. 591-625
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2021 ◽
Vol 3
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pp. 100018
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2007 ◽
Vol 14
(5-6)
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pp. 625-641
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