Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle

Planchon, Fabrice; Vega, Luis

Published 2012 | Version v1

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Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle

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Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)

We prove that solutions to non-linear Schrödinger equations in two dimensions and in the exterior of a bounded and smooth star-shaped obstacle scatter in the energy space. The non-linear potential is defocusing and grows at least as the quintic power.

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URL: https://hal.archives-ouvertes.fr/hal-00936367
URN: urn:oai:HAL:hal-00936367v1

Origin repository: UNICA

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Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle

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