The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order
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: Hokkaido Mathematical Journal
سال: 1994
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381412490