Remarks on Semilinear σ‐Evolution Equations With Critical Damping and Critical Nonlinearity of Derivative Type
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DOI: 10.1002/mma.11155
Abstract: In this article, we indicate that under suitable assumptions of a modulus of continuity, we obtain either the global (in time) existence of small data Sobolev solutions or the blow‐up result of local (in time)… read more here.
Keywords: derivative type; nonlinearity derivative; evolution equations;
Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type
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DOI: 10.1017/s0013091523000111
Abstract: Abstract This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the semigroup approach, the energy method,… read more here.
Keywords: fractional derivative; polynomial stability; derivative type; stability ... See more keywords