MSRI- Dispersive Partial Differential Equations
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Title: On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
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Title: Derivation of the NLS from quantum many body systems
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Title: Dispersive Quantization and the Talbot eect.
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Title: Normal form methods and nonlinear smoothing on T.
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Title: Local Well-Posedness for rough data. The Xs;b function space.
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Title: The periodic KdV. Periodic Strichartz estimates.
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Title: The restricted norm method of Bourgain continued. Local and global well posedness in L2(R).
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Title: The restricted norm method of Bourgain.
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Title: The Keing-Ponce-Vega method on R.
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Title: The initial value problem for the KdV equation. The energy method
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Title: Scattering in the energy space for the energy sub-critical problem. Scattering in other spaces.
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Title: The focusing NLS. Blow-up of solutions. A criteria for the existence of global-in-time solutions
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Title: Interaction Morawetz estimates
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Title: The defocusing NLS. Introduction to energy scattering. Virial Identities
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Title: Local well-posedness for the energy subcritical problem in the energy space
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Title: Local well-posedness for smooth solutions
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Title: Intro to NLS: what is a solution; symmetries of the NLS
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Title: Strichartz estimates
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Title: What is a dispersive PDE. The fundamental solution to the linear Schrodinger equation. Dispersive estimates
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