Well-posedness for the Schroedinger-Improved Boussinesq System and Related Bilinear Estimates
Well-posedness for the Schroedinger-Improved Boussinesq System and Related Bilinear Estimates
We consider the Cauchy problem for the Schrödinger-improved Boussinesq system. We prove the local well-posedness below L2 and the global one in L2. The main ingredient for the local well-posedness is nearly optimal bilinear estimates related with the Schrödinger-improved Boussinesq system in the Bourgain space Xs,b.