Asymptotic stability estimates for some evolution problems with singular convection field

Abstract

We establish asymptotic stability estimates for solutions to evolution problems with singular convection term. Such quantitative estimates provide a measure with respect to the time variable of the distance between the solution to a parabolic problem from the one of the its elliptic stationary counterpart.

Nonlinear evolution problems with singular coefficients in the lower order terms

“…Remark 6.5. The statement of Theorem 6.1 improves the behavior in time of a solution to problem (1.1) known so far [8,14] for p-Laplace operator and see also [5,6] for p = 2. Email address: g.zecca@unina.it…”

Nonlinear evolution problems with singular coefficients in the lower order terms

“…The statement of Theorem 6.1 improves the behavior in time of a solution to problem (1.1) known so far [10,18] for p-Laplace operator. Related results in the case p = 2 are available in [4,7,8].…”