Results 81 to 90 of about 243 (185)

Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L 2 ( Ω ) Under Control Constraints. [PDF]

Appl Math Optim, 2022
Kunisch K, Priyasad B.
europepmc   +1 more source

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, Gaston M. N'Guerekata, Said Boulite, Mahmoud Baroun   +3 more
doaj  

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

Classification of heteroclinic orbits of semilinear parabolic equations with a polynomial nonlinearity

Electronic Journal of Differential Equations, 2011
For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria.
Michael Robinson
doaj  

Null controllability of semilinear degenerate parabolic equations in bounded domains

Electronic Journal of Differential Equations, 2006
In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in general.
Piermarco Cannarsa, Genni Fragnelli
doaj  

Bounded solutions in epidemic models governed by semilinear parabolic equations with general semilinear incidence rates

Қарағанды университетінің хабаршысы. Математика сериясы
The transmission mechanisms of most infectious diseases are generally well understood from an epidemiological standpoint. To mathematically and quantitatively characterize the spread of these diseases, various classical epidemic models-such as the SIR ...
A. Ashyralyev, E. Hincal, B. Kaymakamzade   +2 more
doaj   +1 more source

Impulsive fractional order integrodifferential equation via fractional operators. [PDF]

PLoS One, 2023
Al-Omari A, Al-Saadi H.
europepmc   +1 more source

Removable singularities of semilinear parabolic equations

Advances in Differential Equations, 2010
We prove that the parabolic equation $$f_t=\Delta f+F(x,f,\nabla f,t), $$ in $(\mathbb R^m\setminus\{0\})\times(0,T)$, $m\ge 3$, has removable singularities at $\{0\}\times (0,T)$ if $\|f\|_{L^{\infty}(\mathbb{R}^m\setminus\{0\}\times (0,T))}
openaire   +2 more sources

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  

Global well-posedness of semilinear hyperbolic equations, parabolic equations and Schrodinger equations

Electronic Journal of Differential Equations, 2018
This article studies the existence and nonexistence of global solutions to the initial boundary value problems for semilinear wave and heat equation, and for Cauchy problem of nonlinear Schrodinger equation.
Runzhang Xu, Yuxuan Chen, Yanbing Yang, Shaohua Chen, Jihong Shen   +4 more
doaj