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A Uniqueness Theorem on the Degenerate Cauchy Problem(1)

Published online by Cambridge University Press:  20 November 2018

Chung-Lie Wang
Chung-Lie Wang*
Affiliation:
University of Regina, Regina, Saskatchewan
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 417 - 421
Copyright
Copyright © Canadian Mathematical Society 1975

Footnotes

(1)

Supported (in part) by a National Research Council of Canada Grant A3116.

References

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