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Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation
Authors:Piero D'Ancona  Alessandra Di Giuseppe
Affiliation:1. Università “La Sapienza” di Roma, Dipartimento di Matematica, Piazzale Aldo Moro, 2, I - 00185 Roma, Italy;2. Università di Firenze, Viale Morgagni 67a, I - 50134 Firenze, Italy
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.
Keywords:Wave equation  semilinear equation  global solution
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