We investigate the local and global well-posedness for a class of nonlinear Schr¨odinger systems with an external time independent electromagnetic field and nonlocal nonlinearities. New conditions related to the growth of the nonlocal term are detected which allow the solvability of the problem
Barile, S., Squassina, M., On the well-posedness of a class of nonlinear Schrodinger systems, <<ADVANCED NONLINEAR STUDIES>>, 2011; 11 (3): 525-540. [doi:10.1515/ans-2011-0303] [http://hdl.handle.net/10807/89979]
On the well-posedness of a class of nonlinear Schrodinger systems
Squassina, MarcoUltimo
2011
Abstract
We investigate the local and global well-posedness for a class of nonlinear Schr¨odinger systems with an external time independent electromagnetic field and nonlocal nonlinearities. New conditions related to the growth of the nonlocal term are detected which allow the solvability of the problem
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