Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
europepmc +1 more source
On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator
Journal of Inequalities and Applications, 2006 We consider the basin of the zero-solution to a semilinear parabolic equation on with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev ...
Fujita Yasuhiro
doaj
Pullback attractors for non-autonomous parabolic equations involving Grushin operators
Electronic Journal of Differential Equations, 2010 Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain.
Cung The Anh
doaj
Almost automorphy of semilinear parabolic evolution equations
Electronic Journal of Differential Equations, 2008 This paper studies the existence and uniqueness of almost automorphic mild solutions to the semilinear parabolic evolution equation $$ u'(t)=A(t)u(t)+f(t, u(t)), $$ assuming that the linear operators $A(cdot)$ satisfy the Acquistapace-Terreni ...
Lahcen Maniar +3 more
doaj
Classical and weak solutions for semilinear parabolic equations with Preisach hysteresis [PDF]
Opuscula Mathematica, 2008 We consider the solvability of the semilinear parabolic differential equation \[\frac{\partial u}{\partial t}(x,t)- \Delta u(x,t) + c(x,t)u(x,t) = \mathcal{P}(u) + \gamma (x,t)\] in a cylinder \(D=\Omega \times (0,T)\), where \(\mathcal{P}\) is a ...
Mathias Jais
doaj
Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
PLoS One, 2023 Al-Omari A, Al-Saadi H.
europepmc +1 more source
Life span of blow-up solutions for higher-order semilinear parabolic equations
Electronic Journal of Differential Equations, 2010 In this article, we study the higher-order semilinear parabolic equation $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
doaj
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
europepmc +1 more source
Tunable Heat-Flux Rectification in Graded Nanowires in Non-Linear Guyer-Krumhansl Regime. [PDF]
Nanomaterials (Basel), 2023 Carlomagno I, Cimmelli VA, Jou D.
europepmc +1 more source
Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 Guan Y, Fang T, Zhang D, Jin C.
europepmc +1 more source