Precise smoothing effect in the exterior of balls

zbMath1387.35138arXiv0904.4745MaRDI QIDQ3619617

Oana Ivanovici

Publication date: 8 April 2009

Full work available at URL: https://arxiv.org/abs/0904.4745

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

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Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation ⋮ On the energy critical Schrödinger equation in 3D non-trapping domains ⋮ The fundamental solution and Strichartz estimates for the Schrödinger equation on flat Euclidean cones ⋮ Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

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