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Decay of solutions tonondissipative hyperbolic systems on compact manifolds. (English) Zbl 0295.35048


MSC:

35L40 First-order hyperbolic systems
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
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References:

[1] Existence and uniqueness theorems for systems of partial differential equations, Fluid Dynamics and Applied Mathematics, Gordon and Breach, New York, 1962, pp. 147–195.
[2] Fourier Integral Operators, Courant Institute Lecture Notes, 1973.
[3] Hörmander, Proc. Symp. Pure Math. pp 138– (1967) · doi:10.1090/pspum/010/0383152
[4] On the existence and regularity of solutions of linear pseudo-differential equations, L’Enseignement Math., 1971, pp. 99–163.
[5] Hörmander, Acta Math. 127 pp 79– (1971)
[6] Lax, Duke Math. J. 24 pp 627– (1957)
[7] Lectures on Linear Partial Differential Equations, Regional Conference Series in Mathematics, No. 17, Providence, R.I., 1973.
[8] Rauch, Indiana Math. J. 24 pp 79– (1974)
[9] Pseudo Differential Operators, Springer Lecture Notes, 1974.
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