OAI/MathematicalPhysics/DefocusingNLS/Linear/ExpandingSolutionContinuity.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Continuity of bounded actual mild-solution families
The local polynomial Lipschitz estimate is used only along the actual two solutions. Exponential weighting gives a uniform pair contraction, so continuity follows from continuity of the Picard map at a fixed path. No globally Lipschitz extension of the reaction is introduced.
- theorem
OAI.DefocusingNLS.continuous_fixed_family_of_pair_contractionline 21 - theorem
OAI.DefocusingNLS.continuous_expandingMild_familyline 43 - theorem
OAI.DefocusingNLS.continuous_expandingMild_bounded_familyline 85