Fukuda, Isamu; Tsutsumi, Masayoshi On coupled Klein-Gordon-Schrödinger equations. II. (English) Zbl 0396.35082 J. Math. Anal. Appl. 66, 358-378 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 94 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35G20 Nonlinear higher-order PDEs Keywords:Galerkin’s Method; Initial-Boundary Value Problem; Global C-Infinity Solutions; Klein-Gordon-Schrödinger Equations; Global Solution; Sobolev Space; Existence and Uniqueness; Traveling Waves × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Chadam, J. M., Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension, J. Functional Analysis, 13, 173-184 (1973) · Zbl 0264.35058 [2] Chadam, J. M.; Glassey, R. T., On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions, Arch. Rational Mech. Anal., 54, 223-237 (1974) · Zbl 0285.35042 [3] Fukuda, I.; Tsutsumi, M., On coupled Klein-Gordon-Schrödinger equations, I, Bull. Sci. Engrg. Res. Lab. Waseda Univ., 69, 51-62 (1975) [4] Fukuda, I.; Tsutsumi, M., On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions, (Proc. Japan Acad., 51 (1975)), 402-405 · Zbl 0313.35065 [5] Lions, J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires (1969), Dunod-Gauthier Villars: Dunod-Gauthier Villars Paris · Zbl 0189.40603 [6] Gardner, C.; Greene, J. M.; Kruskal, M. D.; Miura, R. M., Method for solving the Korteweg-de Vries equation, Phys. Rev. Lett., 19, 1095-1097 (1967) · Zbl 1061.35520 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.