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On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation - MaRDI portal

On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation (Q2496591)

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On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation
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    On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation (English)
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    11 July 2006
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    The author shows that in the three-dimensional case there exists a full tube of initial data for which nonrunaway solutions of scattering type do not exist for the nonrelativistic Abraham-Lorentz-Dirac equation in the presence of an attractive force having a Coulomb singularity. A heuristic argument which allows to estimate the size of such a tube of initial data is given.
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    Abraham-Lorentz-Dirac equation
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    scattering solution
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