Non-existence of solutions for the periodic cubic NLS below L²
Guo, Zihua · Oh, Tadahiro
Original · EN
We prove non-existence of solutions for the cubic nonlinear Schrödinger equation (NLS) on the circle if initial data belong to Hˢ(T) L²(T) for some s ∈ (-18, 0). The proof is based on establishing an a priori bound on solutions to a renormalized cubic NLS in negative Sobolev spaces via the short time Fourier restriction norm method.
English translation
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