Vanishing of solutions of diffusion equation with convection and absorption
Date
2005-10-17
Authors
Gladkov, Alexander
Prokhozhy, Sergey
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Diffusion equation, Vanishing of solutions
Citation
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.