References

Erdoğan, M. Burak; Tzirakis, Nikolaos Dispersive partial differential equations. Wellposedness and applications. London Mathematical Society Student Texts, 86. Cambridge University Press, Cambridge, 2016. xvi+186 pp. ISBN: 978-1-316-60293-5; 978-1-107-14904-5

Koch, Herbert; Tataru, Daniel; Vişan, Monica Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Oberwolfach Seminars, 45. Birkhäuser/Springer, Basel, 2014. xii+312 pp. ISBN: 978-3-0348-0735-7; 978-3-0348-0736-4 

Tao, Terence Nonlinear dispersive equations. Local and global analysis. CBMS Regional Conference Series in Mathematics, 106. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2006. xvi+373 pp. ISBN: 0-8218-4143-2

 

Research articles that will be touched upon during the lectures:

Killip, Rowan; Vişan, Monica; Zhang, Xiaoyi Low regularity conservation laws for integrable PDE. Geom. Funct. Anal. 28 (2018), no. 4, 1062–1090. 

Killip, Rowan; Vişan, Monica KdV is well-posed in $H^{-1}$. Ann. of Math. (2) 190 (2019), no. 1, 249–305.

Killip, Rowan; Vişan, Monica Orbital stability of KdV multisolitons in $H^{-1}$. Comm. Math. Phys. 389 (2022), no. 3, 1445–1473.