Displaying similar documents to “Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation”

Nonlinear Wave Equation with Vanishing Potential

Lucente, Sandra (1999)

Serdica Mathematical Journal

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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.