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- Partial differential equations; Mathematical physics
- MTH 190:
Topics in Problem Solving
- MATH 471:
- Sharp global regularity for the 2+1-dimensional equivariant Faddeev model (with Kenji Nakanishi and Xiang Zhang), Int. Math. Res. Not. 2015 (2015), rnv037-17.
- Ill-posedness results for generalized Boussinesq equations (with A. Alexandrou Himonas and David Karapetyan), Nonlinear Anal. 95 (2014), 404-413.
- Restricted convolution inequalities, multilinear operators and applications (with Allan Greenleaf, Alex Iosevich, Eyvindur Palsson, and Eric Sawyer), Math. Res. Lett. 20 (2013), 675-694.
- On the regularity of the 2+1-dimensional equivariant Skyrme model (with Daniel da Silva), Proc. Amer. Math. Soc. 141 (2013), 2105-2115.
- Global well-posedness and scattering for Skyrme wave maps (with Kenji Nakanishi and Sarada Rajeev), Commun. Pure Appl. Anal. 11 (2012), 1923-1933.
- Nonconcentration of energy for a semilinear Skyrme model (with Sarada Rajeev), Ann. Physics 325 (2010), 2697-2706.
- A continuity argument for a semilinear Skyrme model (with Sarada Rajeev), Electron. J. Differential Equations 2010 (2010), No. 86, 1-9.
- A remark on an equation of wave maps type with variable coefficients, Math. Res. Lett. 16 (2009), 395-404.
- A phase space transform adapted to the wave equation (with Daniel Tataru), Comm. Partial Differential Equations 32 (2007), 1065-1101.