Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
نویسندگان
چکیده
منابع مشابه
Singularly Perturbed Cauchy Problem for Abstract Linear Differential Equations of Second Order in Hilbert Spaces∗
We study the behavior of solutions to the problem { ε (u′′ ε (t) +A1uε(t)) + u ′ ε(t) +A0uε(t) = fε(t), t ∈ (0, T ), uε(0) = u0ε, uε(0) = u1ε, as ε → 0, where A1 and A0 are two linear self-adjoint operators in a Hilbert space H. MSC: 35B25, 35K15, 35L15, 34G10 keywords: singular perturbations; Cauchy problem; boundary layer function.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1970
ISSN: 0022-0396
DOI: 10.1016/0022-0396(70)90038-0