Results 11 to 20 of about 4,144 (169)

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In 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

Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate [PDF]

, 2015
In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients.
Francini, E., Lin, C. -L., Vessella, S., Wang, J. -N.   +3 more
core   +2 more sources

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

Some Estimates For The Carleman Function

The American Journal of Applied sciences, 2021
In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna, Juraeva Nodira Yunusovna   +1 more
openaire   +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, Jiaofeng Wang, Maria Hampshire Zylbersztejn   +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, Reginaldo Demarque, Luiz Viana   +2 more
doaj   +1 more source

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

Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves [PDF]

, 2012
In this paper, we shall prove a Carleman estimate for the so-called Zaremba problem. Using some techniques of interpolation and spectral estimates, we deduce a result of stabilization for the wave equation by means of a linear Neumann feedback on the ...
Cornilleau, Pierre, Robbiano, Luc
core   +3 more sources

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

Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case [PDF]

, 2017
We consider an anisotropic hyperbolic equation with memory term: ∂t2u(x,t)=∑i,j=1n∂i(aij(x)∂ju)+∫0t∑|α|≤2bα(x,t,η)∂xαu(x,η)dη+R(x,t)f(x) for $x \in \Omega$ and $t\in (0, T)$ , which is a simplified model equation for viscoelasticity.
Loreti, Paola, Sforza, Daniela, YAMAMOTO, Masahiro   +2 more
core   +2 more sources