Results 11 to 20 of about 156 (155)
Advances in Mathematical PhysicsIn this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
doaj +2 more sources
Carleman Estimates for a Class of Degenerate Parabolic Operators [PDF]
SIAM Journal on Control and Optimization, 2008 Given $\alpha \in [0,2)$ and $f \in L^2 ((0,T)\times(0,1))$, we derive new Carleman estimates for the degenerate parabolic problem $w_t + (x^\alpha w_x) _x =f$, where $(t,x) \in (0,T) \times (0,1)$, associated to the boundary conditions $w(t,1)=0$ and $w(t,0)=0$ if $0 \leq \alpha
CANNARSA, PIERMARCO +2 more
openaire +2 more sources
Null Controllability of a Four Stage and Age-Structured Population Dynamics Model
Journal of Mathematics, 2021 This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions.
Amidou Traoré +2 more
doaj +1 more source
Insensitizing control of KDV–Burgers equations
Journal of Electrical Systems and Information Technology, 2018 This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
doaj +1 more source
An extension of the estimation for solutions of certain Laplace equations
Journal of Inequalities and Applications, 2016 In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
Bin Huang +2 more
doaj +1 more source
Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
doaj +1 more source
Longtime behavior of Kirchhoff plate equations with internal damping
四川大学学报. 自然科学版, 2023 Longtime behavior of the Kirchhoff plate equations with locally distributed internal damping is considered. The equation is equipped with either homogeneous Dirichlet boundary conditions of zero order and second order or Robin boundary conditions of ...
TIAN Jia-Xin, FU Xiao-Yu
doaj
Insensitizing controls for the Cahn-Hilliard type equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper is addressed to showing the existence of insensitizing controls for the one-dimensional Cahn--Hilliard type equation with a superlinear nonlinearity. We solve this problem by reducing the original problem to a controllability problem.
Peng Gao
doaj +1 more source
A Strongly Ill-Posed Problem for the Equation
Cumhuriyet Science Journal, 2018 In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
doaj +1 more source
Uniqueness properties for discrete equations and Carleman estimates
Journal of Functional Analysis, 2017 In the revised version, published in 2017, we improve our Carleman estimate and the method of proof of Theorem 1.1 in order to quantify the uniqueness result in the one dimensional case, proving the sharp uniqueness result conjectured by Lyubarskii, Jaming, Malinnikova and ...
Bertolin, Aingeru Fernández, Vega, Luis
openaire +5 more sources