Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 401, Issue 2, Pages 763-773Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.12.069
Keywords
Rosenau equation; Hydrodynamical damped term; Global existence; Asymptotic behavior
Categories
Funding
- National Natural Science Foundation of China [11171311]
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We consider the Cauchy problem for Rosenau equation with hydrodynamical damped term in n-dimensional space. Under smallness condition on the initial data, we prove the global existence and asymptotic behavior of the solution in the time-weighted Sobolev spaces by the contraction mapping principle. (c) 2013 Elsevier Inc. All rights reserved.
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