Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrödinger Equations

2011/07/15 by Victor A. Galaktionov, Galaktionov, V. A., I. V. Kamotski +1
Mathematics · #35K40 #35K55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1107.3067

openalex publication_date 2011/07/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schrödinger equations is performed.

Citations

• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Related

• Asymptotic behavior for a new higher-order nonlinear Schrödinger equation
• Higher order asymptotics for the nonlinear Schrödinger equation
• Strichartz estimates for higher-order Schrödinger equations and their applications
• Dispersive estimates for higher order Schrödinger operators with scaling-critical potentials
• Scattering theory for Schrödinger equations on manifolds with asymptotically polynomially growing ends