| import OAI.MathematicalPhysics.DefocusingNLS.Certificates | |
| import OAI.MathematicalPhysics.DefocusingNLS.Profile | |
| import OAI.MathematicalPhysics.DefocusingNLS.Spectrum | |
| import OAI.MathematicalPhysics.DefocusingNLS.Linear | |
| import OAI.MathematicalPhysics.DefocusingNLS.Nonlinear | |
| import OAI.MathematicalPhysics.DefocusingNLS.MainTheorems | |
| /-! | |
| # Stable blowup for the defocusing Schrödinger equation | |
| Arbitrarily large odd powers admit a nonempty open family of classical solutions | |
| on the twelve-dimensional torus with finite-time self-similar blowup. For the | |
| same power and integer Sobolev order above eight, every Gaussian decay exponent | |
| above that order plus six has positive blowup probability. | |
| The construction combines radial profiles, spectral classification, decay on | |
| expanding tori, nonlinear stable graphs, physical-data openness and Gaussian | |
| full support. | |
| -/ | |