Results 41 to 50 of about 243 (185)

Li-Yau type estimation of a semilinear parabolic system along geometric flow

Journal of Inequalities and Applications
This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at the end.
Yanlin Li, Sujit Bhattacharyya, Shahroud Azami, Shyamal Kumar Hui   +3 more
doaj   +1 more source

Switched Observer Design for Reaction–Advection–Diffusion Systems: An LMI‐SOS Approach with Adaptive Sensor Configuration

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
A switched observer design methodology for semilinear parabolic PDEs is developed using adaptive sensor configurations and LMI‐based synthesis conditions. The approach guarantees exponential stability through polynomial parameterization and sum‐of‐squares programming, enabling computationally tractable observer design for infinite‐dimensional systems ...
Ivan Francisco Yupanqui Tello, Gustavo Pérez, Carlos Raymundo   +2 more
wiley   +1 more source

On determining and breaking the gauge class in inverse problems for reaction-diffusion equations

Forum of Mathematics, Sigma
We investigate an inverse boundary value problem of determination of a nonlinear law for reaction-diffusion processes, which are modeled by general form semilinear parabolic equations.
Yavar Kian, Tony Liimatainen, Yi-Hsuan Lin   +2 more
doaj   +1 more source

Semilinear parabolic equations with prescribed energy [PDF]

Rendiconti del Circolo Matematico di Palermo, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Bei, Yin, Hong-Ming
openaire   +1 more source

Stability and Reproduction Dynamics in Fractional‐Order Reaction‐Diffusion Models of HIV/AIDS

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This research focuses on introducing fractional‐order derivatives to an HIV/AIDS mathematical model in order to provide a good representation of disease dynamics. The central point of this work is evaluating the stability of equilibrium points through the use of fractional calculus with an important attention to the role of the basic reproductive ...
Khelifa Bouaziz, Nadir Djeddi, Iqbal M. Batiha, Nidal Anakira, Irianto Irianto, Tala Sasa, Soufiane Bentout   +6 more
wiley   +1 more source

Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms

Electronic Journal of Differential Equations, 2018
This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj  

Stability Results for Higher Order Solutions of Damped Wave Equations With Generalized Hartree‐Type Nonlinearity in Rn

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir, Keltoum Bouhali, Amal Alhujaylan, Abdelfateh Beghriche, Huaiqin Wu   +4 more
wiley   +1 more source

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc, Lina Sophie Schmitz, Christoph Walker   +2 more
wiley   +1 more source

Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations

International Journal of Applied Mathematics and Computer Science, 2020
Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory.
Maksimov Vyacheslav, Tröltzsch Fredi
doaj   +1 more source

Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations [PDF]

SIAM Journal on Control and Optimization, 2017
Stabilization problems for parabolic equations with polynomial nonlinearities are investigated in the context of an optimal control formulation with a sparsity enhancing cost functional. This formulation allows that the optimal control completely shuts down once the trajectory is sufficiently close to a stable steady state.
Casas Rentería, Eduardo, Kunisch, Karl
openaire   +3 more sources