Vanishing of solutions of diffusion equation with convection and absorption
Texas State University-San Marcos, Department of Mathematics
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.
Diffusion equation, Vanishing of solutions
Gladkov, A., & Prokhozhy, S. (2005). Vanishing of solutions of diffusion equation with convection and absorption. <i>Electronic Journal of Differential Equations, 2005</i>(113), pp. 1-14.