Global Existence and Nonexistence in a System of Petrovsky
نویسنده
چکیده
In this paper we consider the nonlinearly damped semilinear Petrovsky equation utt + 2u+ aut ut m−2 = bu u p−2 in a bounded domain, where a b > 0. We prove the existence of a local weak solution and show that this solution blows up in finite time if p > m and the energy is negative. We also show that the solution is global if m ≥ p. 2002 Elsevier Science
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