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math.AP2024
Global well-posedness of the energy-critical nonlinear Schrödinger equations on
Beomjong Kwak
In this paper, we prove the global well-posedness of the energy-critical nonlinear Schrödinger equations on the torus for general dimensions. This result is new fo…
math.AP2024★ 1 cited
Critical local well-posedness of the nonlinear Schrödinger equation on the torus
Beomjong Kwak, Soonsik Kwon
In this paper, we study the local well-posedness of nonlinear Schrödinger equations on tori at the critical regularity. We focus on cases where the nonlinearity $|…