On the energy critical Schrodinger equation in 3D non-trapping domains
Abstract
We prove that the quintic Schrodinger equation with Dirichlet boundary conditions is locally well posed for H10 data on any smooth, non-trapping domain of R3. The key ingredient is a smoothing effect in L5xL2t for the linear equation. We also derive scattering results for the whole range of defocusing sub-quintic Schrodinger equations outside star-shaped domains.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.