4 papers
The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data
Hartmut Pecher
The Cauchy problem for a coupled system of the Schroedinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear S…
Bounds in time for the Klein-Gordon-Schroedinger and the Zakharov system
Axel Gruenrock, Hartmut Pecher
It is shown that the spatial Sobolev norms of regular global solutions of the (2+1),(3+1) and (4+1)-dimensional Klein-Gordon-Schroedinger system and the (2+1) and (3+1)-dimensional…
Global solutions of the Klein-Gordon - Schroedinger system with rough data
Hartmut Pecher
The Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a gen…
Global well-posedness below energy space for the 1D Zakharov system
Hartmut Pecher
The Cauchy problem for the 1-dimensional Zakharov system is shown to be globally well-posed for large data which not necessarily have finite energy. The proof combines the local we…