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The existence of unbounded solutions of the Korteweg-de Vries equation. (English) Zbl 0226.35079

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35G20 Nonlinear higher-order PDEs
35J10 Schrödinger operator, Schrödinger equation
35G25 Initial value problems for nonlinear higher-order PDEs
35P15 Estimates of eigenvalues in context of PDEs
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References:
[1] Gardner, Physical Review Letters 19 pp 1095– (1967)
[2] Lax, Comm. Pure App. Math. 21 pp 467– (1968)
[3] Sjöberg, Journal of Mathematical Analysis and Applications 29 pp 569– (1970)
[4] Linear Differential Operators, Part II, Ungar, New York, 1968, pp. 239–246.
[5] Miura, Journal of Mathematical Physics 9 pp 1204– (1968)
[6] Stummel, Mathematische Zeitschrift 97 pp 169– (1967)
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