On spectral and fractional powers of damped wave equations.
M Belluzi, FDM Bezerra… - … on Pure & Applied …, 2022 - search.ebscohost.com
In this paper we explore the theory of fractional powers of positive operators, more precisely,
we use the Balakrishnan formula to obtain parabolic approximations of (damped) wave …
we use the Balakrishnan formula to obtain parabolic approximations of (damped) wave …
Perturbation of parabolic equations with time-dependent linear operators: convergence of linear processes and solutions
M Belluzi - Journal of Evolution Equations, 2024 - Springer
In this work, we consider parabolic equations of the form (u ε) t+ A ε (t) u ε= F ε (t, u ε), where
ε is a parameter in [0, ε 0), and {A ε (t), t∈ R} is a family of uniformly sectorial operators. As …
ε is a parameter in [0, ε 0), and {A ε (t), t∈ R} is a family of uniformly sectorial operators. As …
Fractional powers approach of maximal accretive operators for a class of third order abstract Cauchy problems
M Benharrat, FDM Bezerra - arXiv preprint arXiv:2305.02399, 2023 - arxiv.org
arXiv:2305.02399v1 [math.AP] 3 May 2023 Page 1 arXiv:2305.02399v1 [math.AP] 3 May
2023 FRACTIONAL POWERS APPROACH OF MAXIMAL ACCRETIVE OPERATORS FOR …
2023 FRACTIONAL POWERS APPROACH OF MAXIMAL ACCRETIVE OPERATORS FOR …
Fractional powers approach of operators for abstract evolution equations of third order in time
LA Santos - 2020 - repositorio.ufpb.br
In this work we study third order linear evolution equations in time, in the sense of theory of
strongly continuous one-parameter semigroups, and approximations them of fractional order …
strongly continuous one-parameter semigroups, and approximations them of fractional order …
Fractional powers approach of operators for higher order abstract Cauchy problems
FDM Bezerra, LA Santos - arXiv preprint arXiv:2107.04148, 2021 - arxiv.org
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 the …
self-adjoint) operators and its amazing relationship with the Chebyshev polynomials of the …
Fractional oscillon equations; solvability and connection with classical oscillon equations
FDM Bezerra, RN Figueroa-López… - arXiv preprint arXiv …, 2020 - arxiv.org
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional
approximations of oscillon equation $$ u_ {tt}-\mu (t)\Delta u+\omega (t) u_t= f …
approximations of oscillon equation $$ u_ {tt}-\mu (t)\Delta u+\omega (t) u_t= f …
Nonautonomous fractional oscillon equation
RNF López - icmc.usp.br
In this work we are concerned with the asymptotic behavior of nonautonomous fractional
approximations of oscillon equation utt− µ (t)∆ u+ ω (t) ut= f (u), x∈ Ω, t∈ R, subject to …
approximations of oscillon equation utt− µ (t)∆ u+ ω (t) ut= f (u), x∈ Ω, t∈ R, subject to …