On the non-existence of local Birkhoff coordinates for the focusing NLS equation

التفاصيل البيبلوغرافية
العنوان: On the non-existence of local Birkhoff coordinates for the focusing NLS equation
المؤلفون: Kappeler, T., Topalov, P.
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35
الوصف: We prove that there exist potentials so that near them the focusing non-linear Schr\"odinger equation does not admit local Birkhoff coordinates. The proof is based on the construction of a local normal form of the linearization of the equation at such potentials.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1807.02455
رقم الانضمام: edsarx.1807.02455
قاعدة البيانات: arXiv