1 citations · 1 across the 6 of their papers we have counts for
6 papers
Euler-Rodrigues formula for three-dimensional rotation via fractional powers of matrices
Flank D. M. Bezerra, Lucas A. Santos
In this short paper, we review the Euler-Rodrigues formula for three-dimensional rotation via fractional powers of matrices. We derive the rotations by any angle through the spectr…
Fractional powers approach of operators for higher order abstract Cauchy problems
Flank D. M. Bezerra, Lucas A. Santos
In this paper we explore the theory of fractional powers of non-negative (and not necessarily self-adjoint) operators and its amazing relationship with the Chebyshev polynomials of…
Well-posedness for some third-order evolution differential equations: A semigroup approach
Flank D. M. Bezerra, Alexandre N. Carvalho, Lucas A. Santos
In this paper, we discuss the well-posedness of the Cauchy problem associated with the third-order evolution equation in time $$ u_{ttt} +A u + ηA^{\frac13} u_{tt} +ηA^{\frac23} u_…
Fractional oscillon equations; solvability and connection with classical oscillon equations
Flank D. M. Bezerra, Rodiak N. Figueroa-López, Marcelo J. D. Nascimento
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation $$ u_{tt}-μ(t)Δu+ω(t)u_t=f(u),\ x\inΩ,\ t\in\mathbb{R},…
Dynamics of thermoelastic plate system with terms concentrated in the boundary: the lower semicontinuity of the global attractors
Gleiciane S. Aragão, Flank D. M. Bezerra, Cládio O. P. Da Silva
In this paper we show the lower semicontinuity of the global attractors of autonomous thermoelastic plate systems with Neumann boundary conditions when some reaction terms are conc…
Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary
Flank D. M. Bezerra, Gleiciane da Silva Aragão
In this paper we are interested in the behavior of the solutions of non-autonomous damped wave equations when some reaction terms are concentrated in a neighborhood of the boundary…