Semigroup-theoretical approach to higher order nonlinear evolution equations
نویسندگان
چکیده
منابع مشابه
Nonlocal higher order evolution equations
In this paper we study the asymptotic behavior of solutions to the nonlocal operator ut(x, t) = (−1) n−1 (J ∗ Id − 1)n (u(x, t)), x ∈ R which is the nonlocal analogous to the higher order local evolution equation vt = (−1)(∆)v. We prove that solutions to both equations have the same asymptotic decay rate as t goes to infinity. Moreover, we prove that the solutions of the nonlocal problem conver...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2013
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2013.v20.n3.a2