Existence of ground states, their stability, construction of an unstable excited state, and global existence versus blow-up criteria are established for a three-wave interaction Schrödinger system in mass-critical and supercritical regimes.
Maeda, Instability of bound states of nonlinear Schr¨ odinger equations with Morse index equal to two, Nonlinear Anal., 72(2010), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2022 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Standing waves for a Schr\"odinger system with three waves interaction
Existence of ground states, their stability, construction of an unstable excited state, and global existence versus blow-up criteria are established for a three-wave interaction Schrödinger system in mass-critical and supercritical regimes.