Vanishing of solutions of diffusion equation with convection and absorption
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We study the vanishing of solutions of the Cauchy problem for the equation
ut = ΣNi,j=1 αij(um)xixj + ΣNi=1 bi(un)xi - cup, (x, t) ∈ S = ℝN x (0, +∞).
Obtained results depend on relations of parameters of the problem and growth of initial data at infinity.
CitationGladkov, A., & Prokhozhy, S. (2005). Vanishing of solutions of diffusion equation with convection and absorption. Electronic Journal of Differential Equations, 2005(113), pp. 1-14.
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