THE GLOBAL WELLPOSEDNESS AND SCATTERING OF THE GENERALIZED DAVEY-STEWARTSON EQUATION
摘要
We discuss the solution of the Cauchy problem of the generalized DaveyStewartson equation. When the initial value is small enough, we obtain the global wellposedness of the solution and scattering.
参考文献4
-
1Wang Baoxing, Guo Boling, The Cauchy problem and the existence of scatting for the generalized Davey-Stewartson equations, Chinese Science(A), 44(8)(2001), 994-1002.
-
2Cazenave T , Weissler F B , The Cauchy problem for critical nonlinear Schrodinger equations in H^8. Nonlinear Anal. TMA, 14(1990), 807-836.
-
3Wang Baoxiang, On existence and scattering for critical and subcritical nonlinear Klein-Gordon equations in H^8, Nonlinear Anal. TMA, 31(1998), 573-587.
-
4Bergh J,Lofstrom J, Interpolation Spaces. Springer-Verlag, 1976.
-
1沈彩霞.一类广义Davey-Stewartson方程关于初值问题的解[J].河北大学学报(自然科学版),2002,22(1):75-76.
-
2傅海明,戴正德.广义Davey-Stewartson方程的新孤波解[J].周口师范学院学报,2009,26(5):5-6. 被引量:1
-
3Cheng-chun HaoAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Energy Scattering for the Generalized Davey-Stewartson Equations[J].Acta Mathematicae Applicatae Sinica,2003,19(2):333-340.
-
4赵向青.广义Davey-Stewartson方程组的整体解及自相似解(英文)[J].数学进展,2007,36(5):579-585.
-
5曹军,鲁慧媛.广义Davey-Stewartson的精确解(英文)[J].上海师范大学学报(自然科学版),2015,44(3):330-338. 被引量:1
-
6李健,高文杰,李建军,王增辉.具可变扩散系数的椭圆-双曲方程组的全局适定性[J].吉林大学学报(理学版),2012,50(5):847-853.
-
7Chen Min.SOME DISCUSSIONS ON WELLPOSEDNESS OF THE EULER EQUATION[J].Annals of Differential Equations,2007,23(2):127-130.
-
8王梅,方莉.可压缩Navier-Stokes方程的球对称经典解[J].陕西师范大学学报(自然科学版),2015,43(4):1-5.
-
9陈创锋,张金良.含任意次非线性项的广义Davey-Stewartson方程组的精确解[J].河南科技大学学报(自然科学版),2009,30(1):82-84. 被引量:2
-
10冯学尚,王连圭.一类耦合非线性波相互作用模型初值问题解的全局适定性[J].吉首大学学报,1996,17(1):8-15.