Title: | Stable and unstable sets for damped nonlinear wave equations with variable exponent sources |
Author(s): | Nhan L.C. |
Keywords: | Nonlinear wave equations; Variable exponent sources |
Abstract: | In this paper, we study a class of nonlinear wave equations with variable exponent sources. By introducing a family of potential wells, we first prove the global existence of solutions with initial data in the potential wells and the finite time blow-up for solutions starting in the unstable sets. The boundedness and asymptotic behavior of global solutions are also concerned. Finally, we obtain the finite time blow-up with high energy initial data. |
Issue Date: | 2021 |
Publisher: | American Institute of Physics Inc. |
Series/Report no.: | Vol. 62 |
URI: | http://digital.lib.ueh.edu.vn/handle/UEH/62091 |
DOI: | https://doi.org/10.1063/5.0012177 |
ISSN: | 0022-2488 |
Appears in Collections: | INTERNATIONAL PUBLICATIONS
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