Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958484 | Computers & Mathematics with Applications | 2017 | 9 Pages |
Abstract
In this paper, we find the critical exponent of global small data solutions for a damped plate equation with power nonlinearity uttâÎutt+Î2u+ut=|u|p,tâ¥0,xâR2,and for a system of two weakly coupled damped plate equations. We show how assuming small data in the energy space H2ÃH1 and in L1 is sufficient to compensate the regularity-loss type decay effect created by the rotational inertia term âÎutt.
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Authors
M. D'Abbicco,