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Continuous dependence on initial geometry for a class of abstract equations in Hilbert space. (English) Zbl 0347.35024

MSC:
35G10 Initial value problems for linear higher-order PDEs
35B20 Perturbations in context of PDEs
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References:
[1] \scF. Bloom, On Hölder stability for a class of solutions to Mutt − Nu = F in Hilbert space, unpublished note.
[2] Knops, R.J; Payne, L.E, Continuous data dependence for the equations of classical elastodynamics, (), 481-491 · Zbl 0184.51004
[3] \scF. Bloom, Some stability theorems for an abstract equation in Hilbert space with applications to linear elastodynamics, J. Math. Anal. Appl., to appear. · Zbl 0378.35059
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