In this paper we consider the Cauchy problem for semilinear wave equation with critical and focussing non linear term. We prove that for space dimension not greeter than 7, and for regular initial data sufficiently small in the energy norm, the solutions exists for all time and remain as regular as the data permit
Global regular solutions of the wave equation with critical and non-coercive nonlinearity / Panizzi, Stefano. - In: MATHEMATICA JAPONICA. - ISSN 0025-5513. - 49:(1999), pp. 9-16.
Global regular solutions of the wave equation with critical and non-coercive nonlinearity
PANIZZI, Stefano
1999-01-01
Abstract
In this paper we consider the Cauchy problem for semilinear wave equation with critical and focussing non linear term. We prove that for space dimension not greeter than 7, and for regular initial data sufficiently small in the energy norm, the solutions exists for all time and remain as regular as the data permitFile in questo prodotto:
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