Establishes local well-posedness in H^s(T) for s ≥ 1/2 and global well-posedness under small L^2 norm for periodic INLS using gauge transform and CCM integrability, plus unconditional energy-space results and infinite-depth convergence.
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Uniform a priori H^s bounds and equicontinuity of orbits are proved for the intermediate long wave equation in -1/2 < s ≤ 0 on the line and circle via a Lax pair formulation.
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Well-posedness for the periodic Intermediate nonlinear Schr\"{o}dinger equation
Establishes local well-posedness in H^s(T) for s ≥ 1/2 and global well-posedness under small L^2 norm for periodic INLS using gauge transform and CCM integrability, plus unconditional energy-space results and infinite-depth convergence.
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A priori bounds and equicontinuity of orbits for the intermediate long wave equation
Uniform a priori H^s bounds and equicontinuity of orbits are proved for the intermediate long wave equation in -1/2 < s ≤ 0 on the line and circle via a Lax pair formulation.