In this paper, we find the critical exponent of global small data solutions for a damped plate equation with power nonlinearity utt-δutt+δ2u+ut=|u|p,t≥0,x∈R2,and for a system of two weakly coupled damped plate equations. We show how assuming small data in the energy space H2×H1 and in L1 is sufficient to compensate the regularity-loss type decay effect created by the rotational inertia term -δutt.

The critical exponent for the dissipative plate equation with power nonlinearity

D'ABBICCO, MARCELLO
2017-01-01

Abstract

In this paper, we find the critical exponent of global small data solutions for a damped plate equation with power nonlinearity utt-δutt+δ2u+ut=|u|p,t≥0,x∈R2,and for a system of two weakly coupled damped plate equations. We show how assuming small data in the energy space H2×H1 and in L1 is sufficient to compensate the regularity-loss type decay effect created by the rotational inertia term -δutt.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/186415
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