We develop an abstract theory for the profile decomposition of H1 sequences based on the concentration compactness method introduced by Kenig and Merle. We study in an abstract setting the NLS theory and we construct under proper assumptions a critical solution, used to prove scattering. We apply the abstract theory to a fully variable coefficients operator.

Abstract profile decomposition theory for Schrödinger operators with application to a fully variable coefficients operator / Zanni, Angelo. - (2024 May 23).

Abstract profile decomposition theory for Schrödinger operators with application to a fully variable coefficients operator

ZANNI, ANGELO
23/05/2024

Abstract

We develop an abstract theory for the profile decomposition of H1 sequences based on the concentration compactness method introduced by Kenig and Merle. We study in an abstract setting the NLS theory and we construct under proper assumptions a critical solution, used to prove scattering. We apply the abstract theory to a fully variable coefficients operator.
23-mag-2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1710565
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