MR2381327
Takafumi AKAHORI
Takafumi AKAHORI
Well-posedness for the Schrödinger-Improved Boussinesq System and Related Bilinear Estimates
Funkcialaj Ekvacioj. Serio Internacia
50
2007
469--489
http://fe.math.kobe-u.ac.jp/FE/FullPapers/50-3/50_469.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2381327
We consider the Cauchy problem for the Schrödinger-improved Boussinesq system. We prove the local well-posedness below $L^2$ and the global one in $L^2$. The main ingredient for the local well-posedness is nearly optimal bilinear estimates related with the Schrödinger-improved Boussinesq system in the Bourgain space $X^{s,b}$.
Schrödinger-improved Boussinesq system, Low regularity well-posedness, Bilinear estimate, Global solution.
35Q55.
50-469
2007
Well-posedness for the Schrödinger-Improved Boussinesq System and Related Bilinear Estimates
Takafumi AKAHORI
Takafumi AKAHORI
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