@Article{JPDE-17-2, author = {}, title = {Global Well-posedness for the Klein-Gordon Equation Below the Energy Norm}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {2}, pages = {97--121}, abstract = { We study global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon equation in R^n with n ≥ 3. By means of Bourgain's method along with the endpoint Strichartz estimates of Keel and Tao, we prove the H^s-global well-posedness with s < 1 of the Cauchy problem for the Klein-Gordon equation. This we do by establishing a series of nonlinear a priori estimates in the setting of Besov spaces.}, issn = {2079-732X}, doi = {https://doi.org/2004-JPDE-5380}, url = {https://global-sci.com/article/88547/global-well-posedness-for-the-klein-gordon-equation-below-the-energy-norm} }