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Milla Miranda, Manuel

Weak solutions of a modified KdV equation. (English) Zbl 0383.35008

Bol. Soc. Bras. Mat. 6, 57-63 (1975).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0383.35008

Cited in 6 Documents

MSC:

35G20 Nonlinear higher-order PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
35Q99 Partial differential equations of mathematical physics and other areas of application
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References:

[1] T. B. Benjamin, J. L. Bona, J. J. Mahony,Model equations for long waves in non linear dispersive systems. Phil. Trans. Roy. Soc of London, (1972), 47–78. · Zbl 0229.35013
[2] S. Bochner and A. E. Taylor,Ann of Math (2) 39, (1938), 913–922. · Zbl 0020.37101 · doi:10.2307/1968472
[3] J. L. Lions,Quelques méthodes de résolution des problemes aux limites non linéaires, Dunod, Paris, 1969.
[4] L. A. Medeiros and G. Perla Menzala,On global solutions of a non linear dispersive equation, (to appear). · Zbl 0415.35001
[5] B. P. Neves,Sur un probléme non linéaire d’evolution, Comptes Rendus Acad. Sciences Paris (to appear).
[6] J. C. Saut,Applications de l’interpolation non linéaire à des problemes d’evolution non linéaires, to appear in J. Math. Pures et Appl.
[7] S. L. Sobolev,Sur les equations aux derivés partielles hyperboliques non linéaires, Edizione Cremonese, Roma, 1961.
[8] R. Temam, Sur un probléme non linéaire,J. Math. Pures et Appl. 48 (1969), 159–172. · Zbl 0187.03902
[9] M. Tsutsumi and T. Mukasa,Parabolic regularizations for the generalized kdV equation, Funkcialaj Ekavacioj 14, (1971), 89–110. · Zbl 0228.35077
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