TY - JOUR
T1 - Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation
AU - Kawashima, Shuichi
AU - Wang, Yu Zhu
N1 - Funding Information:
This work is supported in part by Grant-in-Aid for Scientific Research (A) 22244009. The second author is partially supported by the NNSF of China (Grant No. 11101144).
Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/5/25
Y1 - 2015/5/25
N2 - In this paper, we study the initial value problem for the generalized cubic double dispersion equation in n-dimensional space. Under a small condition on the initial data, we prove the global existence and asymptotic decay of solutions for all space dimensions n ≥ 1. Moreover, when n ≥ 2, we show that the solution can be approximated by the linear solution as time tends to infinity.
AB - In this paper, we study the initial value problem for the generalized cubic double dispersion equation in n-dimensional space. Under a small condition on the initial data, we prove the global existence and asymptotic decay of solutions for all space dimensions n ≥ 1. Moreover, when n ≥ 2, we show that the solution can be approximated by the linear solution as time tends to infinity.
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U2 - 10.1142/S021953051450002X
DO - 10.1142/S021953051450002X
M3 - Article
AN - SCOPUS:84928210255
SN - 0219-5305
VL - 13
SP - 233
EP - 254
JO - Analysis and Applications
JF - Analysis and Applications
IS - 3
ER -