We consider an initial boundary-value problem for an equation of a magnetic field in an unbounded domain with a noncompact boundary. Estimates for the decay of solutions that depend on the geometry of the domain are established.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 4, pp. 81–87, October–December, 2009.
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Botsenyuk, O.M. On time decay estimates of solutions of an equation of a magnetic field in a nonlinear unbounded medium. J Math Sci 174, 219–228 (2011). https://doi.org/10.1007/s10958-011-0292-z
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DOI: https://doi.org/10.1007/s10958-011-0292-z