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Diagonalization of Non-selfadjoint Analytic Semigroups and Application to the Shape Memory Alloys Operator

✍ Scribed by Abdelkader Intissar


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
155 KB
Volume
257
Category
Article
ISSN
0022-247X

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✦ Synopsis


To a densely defined, but not necessarily selfadjoint, operator A on a Hilbert space H H we consider on ‫ޒ‬ q = H H the following abstract ''elliptic'' problem of Dirichlet type:

' . projectors into the root subspaces of C . A similar result holds for e provided Ž that t is large enough. See Theorem 4.1 and Theorem 4.2 in Section 4 for the . precise result.