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Decay of solutions of the wave equation outside nontrapping obstacles. (English) Zbl 0372.35008


MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L05 Wave equation
35B45 A priori estimates in context of PDEs
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[1] Lectures on Elliptic Boundary Value Problems, Van Nostrand, New York, 1965.
[2] Bloom, Arch. Rat. Mech. and Anal. 55 pp 73– (1974) · Zbl 0291.35053 · doi:10.1007/BF00282434
[3] On a special class of pseudo-differential operators, J. Fac. Sci., Tokyo University, Ser. 1, 14, Part 2, 1967, pp. 221–249.
[4] Hörmander, I, Acta Math. 127 pp 79– (1971)
[5] Kato, Math. Annalen 162 pp 258– (1966)
[6] Kreiss, Comm. Pure App. Math. 23 pp 277– (1970)
[7] Equations Différentielles Opérationelles et Problémes aux Limites, Springer-Verlag, Berlin, 1961. · doi:10.1007/978-3-662-25839-2
[8] and Scattering Theory, Academic Press, New York, 1967.
[9] Melrose, Duke Math. Journal 42 pp 583– (1975)
[10] Morawetz, Comm. Pure Appl. Math. 19 pp 439– (1966)
[11] Morawetz, Comm. Pure Appl. Math. 14 pp 561– (1961)
[12] Morawetz, Comm. Pure Appl. Math. 28 pp 229– (1975)
[13] Morawetz, Comm. Pure Appl. Math. 22 pp 189– (1969)
[14] Majda, Comm. Pure Appl. Math. 28 pp 479– (1975)
[15] Lectures on Linear Partial Differential Equations, Regional Conference Series #17, A.M.S. Providence, 1973.
[16] Ralston, Comm. Pure Appl. Math. 22 pp 807– (1969)
[17] Strauss, Comm. Pure Appl. Math. 28 pp 265– (1975)
[18] Sakamoto, J. Math., Kyoto university 10 pp 375– (1970)
[19] Shenk, J. Math. Anal. Appl. 31 pp 81– (1970)
[20] Differential Geometry, Interscience, New York, 1969.
[21] Taylor, Comm. Pure Appl. Math. 29 pp 1– (1976)
[22] Pseudo Differential Operators, Lecture Notes in Mathematics 416, Springer-Verlag, Berlin, 1975.
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