2 problems

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Below-ground-state global existence and scattering conjecture for the Zakharov system
Let $Q$ be the ground state solution of the focusing cubic nonlinear Schrödinger equation, and consider the deterministic Zakharov system in the energy space…
Conjecturesolvednonlinear-schrodinger-equations scattering zakharov-systemarXiv posted 2 days ago
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Scattering below the ground state for the Zakharov system
Let $(f,g)\in H^1\times L^2$ satisfy … Here $\mathcal{E}_Z$ denotes the Zakharov energy and $Q$ is the ground state. Scattering below the ground state conjecture. There exists a un…
Conjectureopennonlinear-wave-equations scattering zakharov-systemarXiv posted 2 days ago

Below-ground-state global existence and scattering conjecture for the Zakharov system