Blow up of the critical norm for some radial L² super critical nonlinear Schrodinger equations

2006/05/15 by Frank Merle, Merle, Frank, Pierre Raphaël +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0605378

openalex publication_date 2006/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the nonlinear Schrödinger equation iu_t=-Δu-|u|^p-1u in dimension N≥ 3 in the L² super critical range 1+(4)/(N)

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