Abstract
In this work the authors study the conditions for the existence of diffusion equations
in the cylinder Q = 3DΩ × \(\mathbb{R}\) +, Ω ⊂ \(\mathbb{R}\) n, satisfying the homogeneous Dirichlet or Neumann conditions on the side boundary of the cylinder Q and decreasing with respect to t as a power for t → ∞.
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Bagirov, L.A., Kondratiev, V.A. On Asymptotic Properties of Solutions of Diffusion Equations. Journal of Mathematical Sciences 114, 1407–1428 (2003). https://doi.org/10.1023/A:1022296627332
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DOI: https://doi.org/10.1023/A:1022296627332