Controllability for one-dimensional nonlinear wave equations with degenerate damping
نویسندگان
چکیده
منابع مشابه
On Nonlinear Wave Equations with Degenerate Damping and Source Terms
In this article we focus on the global well-posedness of the differential equation utt − ∆u+ |u|k∂j(ut) = |u|p−1u in Ω× (0, T ), where ∂j is a sub-differential of a continuous convex function j. Under some conditions on j and the parameters in the equations, we obtain several results on the existence of global solutions, uniqueness, nonexistence and propagation of regularity. Under nominal assu...
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The null controllability of parabolic operators in bounded domains, with both boundary or locally distributed controls, is a well-established property, see, e.g., (Bensoussan et al., 1993) and (Fattorini, 1998). Such a property brakes down, however, for degenerate parabolic operators even when degeneracy occurs on ”small” subsets of the space domain, such as subsets of the boundary. This talk w...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2017
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.12.007