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The asymptotic behavior of solutions of second order systems of partial differential equations. (English) Zbl 0257.35017

MSC:
35G05 Linear higher-order PDEs
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35B40 Asymptotic behavior of solutions to PDEs
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[2] Agmon, S; Nirenberg, L, Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space, Comm. pure appl. math., 20, 207-229, (1967) · Zbl 0147.34603
[3] Knops, R.J; Payne, L.E, Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics, Arch. rational mech. anal., 41, 363-398, (1971) · Zbl 0227.35017
[4] Levine, H.A, On the uniqueness of bounded solutions to u′(t) = A(t) u(t) and u″(t) = A(t) u(t) in Hilbert space, Battelle (Geneva) advanced studies center, report 51a, (1971) · Zbl 0226.34056
[5] Murray, A.C, Asymptotic behavior of solutions of hyperbolic inequalities, Trans. amer. math. soc., 157, 279-296, (1971) · Zbl 0214.10403
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[7] Protter, M.H, Asymptotic behavior and uniqueness theorems for hyperbolic outlines, (), 348-353
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