Best asymptotic profile for linear damped p-system with boundary effect
نویسندگان
چکیده
منابع مشابه
ASYMPTOTIC BEHAVIOR OF SOLUTION TO NONLINEAR DAMPED p-SYSTEM WITH BOUNDARY EFFECT
with a specially selected initial data v̄0(x). The optimal convergence rates ‖∂ x (v− v̄, u− ū)(t)‖L2 = O(1)(t 2k+3 4 , t 2k+5 4 ), k = 0, 1, are also obtained, as the initial perturbation is in L(R+) ∩ H(R+). If the initial perturbation is in the weighted space L(R+) ∩ H(R+) with the best choice of γ = 1 4 , some new and much better decay rates are further obtained: ‖∂ x(v− v̄)(t)‖L2 = O(1)(1 + t...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2010
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.04.008