Geodesic
Nonlinear Wave Equation with Vanishing Potential
Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 71-82.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.
Keywords: Nonlinear Wave Equation, Large Data 
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     title = {Nonlinear {Wave} {Equation} with {Vanishing} {Potential}},
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Lucente, Sandra. Nonlinear Wave Equation with Vanishing Potential. Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 71-82. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_1_a6/