Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
2010 ◽
Vol 17
(3)
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pp. 543-562
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Abstract We consider the initial value problem for a two-dimensional semi-linear wave equation with exponential type nonlinearity. We obtain global well-posedness in the energy space. We also establish the linearization of bounded energy solutions in the spirit of Gérard [J. Funct. Anal. 141: 60–98, 1996]. The proof uses Moser–Trudinger type inequalities and the energy estimate.
1996 ◽
Vol 19
(2)
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pp. 131-144
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2002 ◽
Vol 04
(02)
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pp. 211-222
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2018 ◽
Vol 373
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pp. 91-129
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2013 ◽
Vol 15
(06)
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pp. 1350026
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2010 ◽
Vol 3
(9)
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pp. 1006-1008
2009 ◽
Vol 06
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pp. 549-575
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2011 ◽
Vol 62
(1)
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pp. 164-172
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