Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 361–384
Abstract
Extending the previous work [1], we establish well-posedness results for a more general class of semilinear wave equations with exponential growth. First, we investigate the well-posedness in the energy space. Then, we prove the propagation of the regularity in the Sobolev spaces H^s(R^2) with s ≥ 1. Finally, an ill-posedness result is obtained in H^s(R^2) for s < 1.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n4.7
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 361–384
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Nonlinear wave equation
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