Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions (Q1737561)

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English	Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions	scientific article

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scholarly article

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title

Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions (English)

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zbMATH Open document ID

1421.35310

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DOI

10.1007/s00220-018-3231-8

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Communications in Mathematical Physics

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publication date

23 April 2019

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full work available at URL

https://arxiv.org/abs/1706.05257

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Mathematics Subject Classification ID

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Dirac operators

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absorption principle

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MaRDI profile type

MaRDI publication profile

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Essential self-adjointness and invariance of the essential spectrum for Dirac operators

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Limiting absorption principle and resonances for the Dirac operator

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The cubic Dirac equation: small initial data in $H^1(\mathbb R^3)$

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The cubic Dirac equation: small initial data in ${H^{\frac{1}{2}}(\mathbb R^2)}$

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On the point spectrum of Dirac operators

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On global Strichartz estimates for non-trapping metrics

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Stable directions for small nonlinear Dirac standing waves

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On spectral stability of the nonlinear Dirac equation

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Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity

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Virial identity and weak dispersion for the magnetic Dirac equation

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Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies

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Virial identity and dispersive estimates for the $n$-dimensional Dirac equation

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On the global limiting absorption principle for massless Dirac operators

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Maximal functions associated to filtrations

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Asymptotic stability of solitary waves in generalized Gross-Neveu model

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Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials

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Decay estimates for the wave and Dirac equations with a magnetic potential

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Endpoint Strichartz estimates for the magnetic Schrödinger equation

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Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in $\mathbb R^3$

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Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions

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The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions

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Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies

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Magnetic virial identities, weak dispersion and Strichartz inequalities

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Wave packets in honeycomb structures and two-dimensional Dirac equations

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Q4533173

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Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential

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Generalized Strichartz inequalities for the wave equation

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Q4652131

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Q3752751

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Essential self-adjointness of <i>n</i>-dimensional Dirac operators with a variable mass term

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Endpoint Strichartz estimates

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Wave operators and similarity for some non-selfadjoint operators

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Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

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Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations

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Q4185363

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Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

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Effective limiting absorption principles, and applications

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Strichartz estimates for the magnetic Schrödinger equation

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Absolutely continuous spectrum of Dirac operators for long-range potentials

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A remark on the limiting absorption method for Dirac operators

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Wikidata QID

Q129352341

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Mathematics(1 entry)

mardi Publication:1737561