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Rogak, E. D.

A mixed problem for the wave equation in a time dependent domain. (English) Zbl 0149.31003

Arch. Ration. Mech. Anal. 22, 24-36 (1966).
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Cited in 10 Documents

Keywords:

partial differential equations
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References:

[1] Agmon, S., A. Douglis, & L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations. Comm. Pure and Appl. Math. 12, 623-727 (1959). · Zbl 0093.10401 · doi:10.1002/cpa.3160120405
[2] Darboux, M., Leçons sur la théorie des surfaces, t. 4 (note 1). Paris 1896. · JFM 27.0497.01
[3] Duff, G.F.D., A mixed problem for normal hyperbolic linear partial differential equations of second order. Can. J. Math. 9, 141-160 (1957). · Zbl 0079.11602 · doi:10.4153/CJM-1957-018-3
[4] Duff, G.F.D., Mixed problems for hyperbolic equations of general order. Can. J. Math. 11, 195-221 (1959). · Zbl 0086.07603 · doi:10.4153/CJM-1959-024-1
[5] Gårding, L., Le problème de Goursat pour l’équation des ondes. Eleventh Scand. Math. Congress, Tronheim 1949. · Zbl 0048.33401
[6] Goursat, É., Cours d’analyse mathématique, t. 3. Paris: Gauthier-Villars 1946.
[7] Hadamard, J., Bull. Soc. Math. Fr. 31 (1903). · JFM 34.0080.04
[8] Lions, J.L., Equations différentielles opérationnelles. Berlin-Göttingen-Heidelberg: Springer 1961.
[9] Nirenberg, L., Remarks on strongly elliptic partial differential equations. Comm. Pure Appl. Math. 8, 647-674 (1955). · Zbl 0067.07602 · doi:10.1002/cpa.3160080414
[10] Protter, M.H., A boundary value problem for the wave equation and mean value theorems. Ann. Math. Studies No. 33, 249-257 (1954). · Zbl 0057.08102
[11] Rogak, E.D., Thesis Univ. of Mich. 1964.
[12] Sobolev, S.L., Some new problems for partial differential equations of hyperbolic type. Mat. Sbornik 11, 155-203 (1942). · Zbl 0061.21509
[13] Wilcox, C., Initial-boundary value problems for linear hyperbolic partial differential equations of the second order. M.R.C. Technical Summary Report No. 301, March, 1962. · Zbl 0168.08201
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