Geodesic
Existence of Solutions of Abstract Differential Equations in a Local Space
Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 239-244

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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). 
Malik, M. A. Existence of Solutions of Abstract Differential Equations in a Local Space. Canadian mathematical bulletin, Tome 16 (1973) no. 2, pp. 239-244. doi: 10.4153/CMB-1973-041-0
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     author = {Malik, M. A.},
     title = {Existence of {Solutions} of {Abstract} {Differential} {Equations} in a {Local} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {239--244},
     year = {1973},
     volume = {16},
     number = {2},
     doi = {10.4153/CMB-1973-041-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-041-0/}
}
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