Bloom, Clifford O. A rate of approach to the steady state of solutions of second-order hyperbolic equations. (English) Zbl 0338.35060 J. Differ. Equations 19, 296-329 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 35L20 Initial-boundary value problems for second-order hyperbolic equations 35C05 Solutions to PDEs in closed form 35B45 A priori estimates in context of PDEs 35B35 Stability in context of PDEs PDFBibTeX XMLCite \textit{C. O. Bloom}, J. Differ. Equations 19, 296--329 (1975; Zbl 0338.35060) Full Text: DOI References: [1] Bloom, C. O.; Kazarinoff, N. D., Energy decays locally even if total energy grows algebraically with time, J. Differential Eq., 16, 352-372 (1974) · Zbl 0279.35054 [2] Buchal, R., The approach to the steady state of solutions of exterior boundary value problems for the wave equation, J. Math. Mech., 12, 225-234 (1963) · Zbl 0108.28302 [3] Eidus, D. M., Amer. Math. Soc. Transl., 47, 157-191 (1965) · Zbl 0149.30602 [4] Eidus, D. M., Some boundary value problems in infinite regions, Izv. Akad. Nauk. SSSR, Ser. Mat., 27, 1055-1080 (1963) · Zbl 0124.31002 [5] Karp, S. N., A convergent “farfield” expansion for two-dimensional radiation functions, Comm. Pure Appl. Math., 14, 427-434 (1961) · Zbl 0117.29802 [6] Meyers, N.; Serrin, J., The exterior Dirichlet problem for second order elliptic partial differential equations, J. Math. Mech., 9, 513-538 (1960) · Zbl 0094.29701 [7] Meyers, N., An expansion about infinity for solutions of linear elliptic equations, J. Math. Mech., 12, 247-264 (1963) · Zbl 0121.32202 [8] Morawetz, C. S., The limiting amplitude principle, Comm. Pure Appl. Math., 15, 349-361 (1962) · Zbl 0196.41202 [9] Wilcox, C. H., A generalization of theorems of Rellich and Atkinson, (Proc. A.M.S., 7 (1956)), 271-276 · Zbl 0074.08102 [10] Zachmanoglou, The decay of solutions of the initial boundary value problem for hyperbolic equations, J. Math. Anal. Appl., 13, 504-515 (1966) · Zbl 0135.31702 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.