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Existence of Solutions of Abstract Differential Equations in a Local Space

Published online by Cambridge University Press:  20 November 2018

M. A. Malik
M. A. Malik*
Affiliation:
Sir George Williams University, Montreal, Quebec
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Let H be a Hilbert space; ( , ) and | | represent the scalar product and the norm respectively in H. Let A be a closed linear operator with domain DA dense in H and A* be its adjoint with domain DA*. DA and DA*are also Hilbert spaces under their respective graph scalar product. R(λ; A*) denotes the resolvent of A*; complex plane. We write L = D — A, L* = D — A*; D = (l/i)(d/dt).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973 , pp. 239 - 244
Copyright
Copyright © Canadian Mathematical Society 1973

References

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