Global well-posedness and self-similarity for semilinear wave equations in a time-weighted framework of Besov type
2020 ◽
Vol 17
(01)
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pp. 123-139
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We show global-in-time well-posedness and self-similarity for the semilinear wave equation with nonlinearity [Formula: see text] in a time-weighted framework based on the larger family of homogeneous Besov spaces [Formula: see text] for [Formula: see text]. As a consequence, in some cases of the power [Formula: see text], we cover a initial-data class larger than in some previous results. Our approach relies on dispersive-type estimates and a suitable [Formula: see text]-product estimate in Besov spaces.
1998 ◽
Vol 3
(1-2)
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pp. 171-180
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2003 ◽
Vol 283
(2)
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pp. 645-666
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2018 ◽
Vol 2019
(21)
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pp. 6797-6817
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2002 ◽
Vol 04
(02)
◽
pp. 223-295
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