4. Mathematics
  5. Analysis of PDEs

Justin Holmer

Mathematics – Analysis of PDEs

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A class of solutions to the 3d cubic nonlinear Schroedinger equation that blow-up on a circle

Mathematics – Analysis of PDEs
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A sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

Mathematics – Analysis of PDEs
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Asymptotically linear solutions in H^1 of the 2-d defocusing nonlinear Schroedinger and Hartree equations

Mathematics – Analysis of PDEs
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Blow-up criteria for the 3d cubic nonlinear Schrödinger equation

Mathematics – Analysis of PDEs
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Blow-up solutions on a sphere for the 3d quintic NLS in the energy space

Mathematics – Analysis of PDEs
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