We consider the Neumann initial boundary-value problem for the equation
in domains with noncompact boundary and with initial Dirac delta function. In the case of slow diffusion (m + λ − 2 > 0) and critical absorption exponent (p = m + λ − 1 + (λ + 1)/N), we prove that the singularity at the point (0, 0) is removable.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 7, pp. 894–912, July, 2010.
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Boldovskaya, O.M. Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration. Ukr Math J 62, 1040–1060 (2010). https://doi.org/10.1007/s11253-010-0412-9
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DOI: https://doi.org/10.1007/s11253-010-0412-9