Control and Stabilization of High-Order KdV Equation Posed on the Periodic Domain
نویسندگان
چکیده
منابع مشابه
Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line
Studied here is the large-time behavior of solutions of the Korteweg-de Vries equation posed on the right half-line under the effect of a localized damping. Assuming as in [20] that the damping is active on a set (a0,+∞) with a0 > 0, we establish the exponential decay of the solutions in the weighted spaces L((x + 1)dx) for m ∈ N∗ and L(edx) for b > 0 by a Lyapunov approach. The decay of the sp...
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ژورنال
عنوان ژورنال: Journal of Partial Differential Equations
سال: 2018
ISSN: 1000-940X,2079-732X
DOI: 10.4208/jpde.v31.n1.3