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A Uniqueness Theorem on the Degenerate Cauchy Problem(1)
Published online by Cambridge University Press: 20 November 2018
Extract
In [4] Carroll and the author have treated the following problem
(1)
where Λ is a closed densely defined self-adjoint operator in a separable Hilbert space H with (Λu, u) ≥ c ‖u‖2, c > 0, Λ-1 ∊ L(H) (L(E, F) is the space of continuous linear maps from E to F; in particular, L(H) = L(H, H)), a(t) > 0 for t > 0 a(0) = 0 and S(t), R(t), B(t) ∈ L(H).
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- Research Article
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- Copyright © Canadian Mathematical Society 1975
Footnotes
Supported (in part) by a National Research Council of Canada Grant A3116.
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