Proves simultaneous stable and unstable standing waves, global existence, and absence of small-data scattering for a three-wave energy-critical Schrödinger system, revealing interaction-specific features distinct from the classical case.
Brock, A general rearrangement inequality ` a la Hardy-Littlewood.J
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Three wave interaction solitons for an energy critical Schr\"odinger system
Proves simultaneous stable and unstable standing waves, global existence, and absence of small-data scattering for a three-wave energy-critical Schrödinger system, revealing interaction-specific features distinct from the classical case.