Well-posedness of an evolution problem with nonlocal diffusion
نویسندگان
چکیده
منابع مشابه
Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators
The nonlocal boundary value problem for the parabolic differential equation v'(t) + A(t)v(t) = f(t) (0 ≤ t ≤ T), v(0) = v(λ) + φ, 0 < λ ≤ T in an arbitrary Banach space E with the dependent linear positive operator A(t) is investigated. The well-posedness of this problem is established in Banach spaces C 0 (β,γ) (E α-β ) of all E α-β -valued continuous functions φ(t) on [0, T] satisfying a Höld...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2019
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2018.06.013