A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces Export

@article{citeulike:4320133, abstract = {We consider the cubic Nonlinear Schrodinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a priori local in time Hs bounds in terms of the Hs size of the initial data for [IMG]f1.gif" ALT="Formula" BORDER="0">. 10.1093/imrn/rnm053}, author = {Koch, Herbert and Tataru, Daniel}, citeulike-article-id = {4320133}, citeulike-linkout-0 = {http://dx.doi.org/10.1093/imrn/rnm053}, citeulike-linkout-1 = {http://imrn.oxfordjournals.org/cgi/content/abstract/2007/rnm053/rnm053}, day = {19}, doi = {10.1093/imrn/rnm053}, journal = {Int Math Res Notices}, keywords = {nls}, month = {July}, number = {rnm053}, pages = {rnm053--36}, posted-at = {2009-04-15 20:09:16}, priority = {2}, title = {A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces}, url = {http://dx.doi.org/10.1093/imrn/rnm053}, volume = {2007}, year = {2007} }

TY - JOUR ID - citeulike:4320133 L3 - citeulike-article-id:4320133 N2 - We consider the cubic Nonlinear Schrodinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a priori local in time Hs bounds in terms of the Hs size of the initial data for [IMG]f1.gif" ALT="Formula" BORDER="0">. 10.1093/imrn/rnm053 IS - rnm053 JF - Int Math Res Notices EP - 36 TI - A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces VL - 2007 SP - rnm053 KW - nls AU - Koch, Herbert AU - Tataru, Daniel PY - 2007/07/19/ UR - http://dx.doi.org/10.1093/imrn/rnm053 ER -