Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222109 | Nonlinear Analysis: Real World Applications | 2018 | 33 Pages |
Abstract
In this paper, we investigate the large time behavior of a global solution for the nonlinear beam equation with a weak damping term in weighted Sobolev spaces. We proved the unconditional global well-posedness for small initial data and sharp decay estimates of the global solution in the same framework. The crucial part of our proof is a smoothing effect from the linear principal part to overcome the regularity loss structure in the weighted estimates.
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Authors
Hiroshi Takeda,