Large diffusivity finite‐dimensional asymptotic behaviour of a semilinear wave equation
Journal of Applied Mathematics, Volume 2003, Issue 8, Page 409-427, 2003., 2003 We study the effects of large diffusivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin‐type boundary conditions. In the linear case, we show in a given sense that the asymptotic behaviour of solutions verifies a second‐order ordinary differential equation.
Robert Willie
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper investigates an abstract nonhomogeneous backward Cauchy problem governed by an unbounded linear operator in a Hilbert space H. The coefficient operator in the equation is assumed to be unbounded, self‐adjoint, positive, and to possess a discrete spectrum, with data prescribed at the final time t = T.
Nihed Teniou, Xian-Ming Gu
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International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 9, Page 573-578, 2002., 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth‐order infinitesimal generator and time‐dependent operator differential equation with a Stepanov almost periodic forcing function, then u, u′, …, u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.
Aribindi Satyanarayan Rao
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 635-640, 2002., 2002 It is shown that, for the spectral operators of scalar type, the well‐known characterizations of the generation of C0‐ and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the conditions on the resolvent of the generator being automatically met and the corresponding semigroup ...
Marat V. Markin
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Equation de Fokker-Planck fractionnaire avec une force confinante générale [PDF]
, 2018 This article studies a Fokker-Planck type equation of fractional diffusion with conservative drift ∂f/∂t = ∆^(α/2) f + div(Ef), where ∆^(α/2) denotes the fractional Laplacian and E is a confining force field.
Lafleche, Laurent
core
S.Bu: Fourier series in Banach spaces and maximal regularity. Vector Measures, Integration and Related Topics. Selected papers from the 3rd conference on vector measures and integration [PDF]
, 2008 . We consider Fourier series of functions in L p (0, 2π; X) where X is a Banach space. In particular, we show that the Fourier series of each function in L p (0, 2π; X) converges unconditionally if and only if p = 2 and X is a Hilbert space. For operator-
Shangquan Bu, Wolfgang Arendt
core
Regulatory modules mediating the complex neural expression patterns of the homeobrain gene during Drosophila brain development. [PDF]
Hereditas, 2022 Hildebrandt K +8 more
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Ultradifferentiable classes of entire functions. [PDF]
Adv Oper Theory, 2023 Nenning DN, Schindl G.
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Isolation and characterization of lymphocyte-like cells from a lamprey. [PDF]
Proc Natl Acad Sci U S A, 2002 Mayer WE +5 more
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On the conjugate weight function and ultradifferentiable classes of entire functions. [PDF]
Adv Oper TheorySchindl G.
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