A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology

J. O. Takhirov ()
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J. O. Takhirov: Institute of Mathematics of Uzbek Academy of Science

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 95-112

Abstract: Abstract This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem modelling population dynamics. Hölder norm á priori estimates are established for the free boundary and the solution. Uniqueness of the solution is shown and qualitative properties of the solution are investigated.

Keywords: Free boundary problem; quasilinear equations; a priori estimates (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-019-0309-8

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