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Article Dans Une Revue Communications in Partial Differential Equations Année : 2008

The Cauchy Problem for Defocusing Nonlinear Schrödinger Equations with Non-Vanishing Initial Data at Infinity

Résumé

For rather general nonlinearities, we prove that defocusing nonlinear Schrödinger equations in n (n ≤ 4), with non-vanishing initial data at infinity u 0 , are globally well-posed in u 0 + H 1. The same result holds in an exterior domain in n , n = 2 3.
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Dates et versions

hal-01960961 , version 1 (08-01-2019)

Identifiants

Citer

Clément Gallo. The Cauchy Problem for Defocusing Nonlinear Schrödinger Equations with Non-Vanishing Initial Data at Infinity. Communications in Partial Differential Equations, 2008, 33 (5), pp.729-771. ⟨10.1080/03605300802031614⟩. ⟨hal-01960961⟩
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