Volume 231, Issue 1 pp. 5-23
Original Paper

Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation

Piero D'Ancona

Piero D'Ancona

Università “La Sapienza” di Roma, Dipartimento di Matematica, Piazzale Aldo Moro, 2, I - 00185 Roma, Italy

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Alessandra Di Giuseppe

Alessandra Di Giuseppe

Università di Firenze, Viale Morgagni 67a, I - 50134 Firenze, Italy

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Abstract

We prove a global existence result for a semilinear degenerate hyperbolic Cauchyproblem with large data, in the case ofa subcritical defocusing power nonlinearity, in 1 and 2 space dimensions.

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