The 2D periodic cubic hyperbolic NLS is semilinearly well-posed in FL^{s,p} for s>1-1/p, unconditionally unique under (1.14), and ill-posed for s<1-1/p, with the same normal-form machinery giving sharp FL^{s,p} uniqueness for p>=3 in the elliptic case.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schr\"odinger equation
The 2D periodic cubic hyperbolic NLS is semilinearly well-posed in FL^{s,p} for s>1-1/p, unconditionally unique under (1.14), and ill-posed for s<1-1/p, with the same normal-form machinery giving sharp FL^{s,p} uniqueness for p>=3 in the elliptic case.