We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity uniformly in time and their entire trajectory approaches a single steady state as time goes to infinity.
Watanabe, T., Squassina, M., Uniqueness of limit flow for a class of quasi-linear parabolic equations, <<ADVANCES IN NONLINEAR ANALYSIS>>, 2016; (N/A): N/A-N/A. [doi:10.1515/anona-2016-0134] [http://hdl.handle.net/10807/87012]
Uniqueness of limit flow for a class of quasi-linear parabolic equations
Squassina, MarcoUltimo
2016
Abstract
We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity uniformly in time and their entire trajectory approaches a single steady state as time goes to infinity.
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