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Time Decay of Scaling Invariant Electromagnetic Schrödinger Equations on the Plane

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Abstract

We prove the sharp \({L^1-L^\infty}\) time-decay estimate for the 2D -Schrödinger equation with a general family of scaling critical electromagnetic potentials.

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Author information

Authors and Affiliations

  1. SAPIENZA Università di Roma, P.le A. Moro 5, 00185, Rome, Italy

    Luca Fanelli

  2. Dipartimento di Matematica e applicazioni, Università di Milano Bicocca, Via Cozzi 55, 20125, Milan, Italy

    Veronica Felli

  3. ICMAT-CSIC, Ciudad Universitaria de Cantoblanco, 28049, Madrid, Spain

    Marco A. Fontelos

  4. Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    Ana Primo

Authors
  1. Luca Fanelli
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  2. Veronica Felli
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  3. Marco A. Fontelos
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  4. Ana Primo
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Corresponding author

Correspondence to Veronica Felli.

Additional information

Communicated by W. Schlag

L. Fanelli was supported by the Italian project FIRB 2012: “Dispersive dynamics: Fourier Analysis and Variational Methods”. V. Felli was partially supported by the P.R.I.N. 2012 grant “Variational and perturbative aspects of nonlinear differential problems”. M. A. Fontelos was supported by the Spanish project “MTM2011-26016”. A. Primo was supported by the Spanish project “MTM2010-18128”.

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Fanelli, L., Felli, V., Fontelos, M.A. et al. Time Decay of Scaling Invariant Electromagnetic Schrödinger Equations on the Plane. Commun. Math. Phys. 337, 1515–1533 (2015). https://doi.org/10.1007/s00220-015-2291-2

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  • DOI: https://doi.org/10.1007/s00220-015-2291-2

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