Global well-posedness for the critical Schrodinger-Debye system

被引:5
作者
Carvajal, Xavier [1 ]
Gamboa, Pedro [1 ]
机构
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, Brazil
基金
巴西圣保罗研究基金会;
关键词
Schrodinger-Debye system; Global well-posedness; A priori estimates;
D O I
10.4310/DPDE.2014.v11.n3.a3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish global well-posedness results for the initial value problem associated to the Schrodinger-Debye system in dimension two, for data in H-s(R-2) x L-2(R-2), 2/3 < s <= 1 and for data in H-1(R-2) x H-1(R-2).
引用
收藏
页码:251 / 268
页数:18
相关论文
共 12 条
  • [1] Berg Joran., 1976, INTERPOLATION SPACES
  • [2] Bidegaray B., 1998, ADV DIFFERENTIAL EQU, V3, P473
  • [3] Bidegaray B., 1998, MATH MOD METH APPL S, V10, P473
  • [4] Bourgain J., 1993, Geom. Funct. Anal., V3, P107
  • [5] Bourgain J., 1999, AM MATH SOC C PUBLIC, V46, DOI DOI 10.1090/COLL/046
  • [6] Bourgain J., 1993, The KdV equations, GAGA, V3, P209, DOI 10.1007/BF01895688
  • [7] A Schrodinger equation with time-oscillating nonlinearity
    Cazenave, Thierry
    Scialom, Marcia
    [J]. REVISTA MATEMATICA COMPLUTENSE, 2010, 23 (02): : 321 - 339
  • [8] Corcho A., 2000, CONT MATH, V362, P307
  • [9] Corcho AJ, 2013, P AM MATH SOC, V141, P3485
  • [10] Corcho AJ, 2009, DIFFER INTEGRAL EQU, V22, P357