Exponential coordinates and regularity of groupoid heat kernels
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
Exponential decay for the semilinear wave equation with source terms.
Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.
Exponential decay of a solution for some parabolic equation involving a time nonlocal term
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
Exponential decay of averaged Green functions for random Schrödinger operators. A direct approach
Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Exponential decay of solutions to a fourth-order viscoelastic evolution equation in .
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping.
Exponential decay to partially thermoelastic materials
We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
Exponential law in the jet bundle, symmetries of differential equations and Cartan's moving frame. (Loi exponentielle dans le fibré des jets, symétries des équations différentielles et repère mobile de Cartan.)
Exponential of a hamiltonian in large subsets of a lattice and applications
Exponential representation of solutions of ordinary differential equations
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is...
Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system...
Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space
We consider the equation , where is the generator of an analytic semigroup on a Banach space , is a variable bounded operator in . It is assumed...
Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms.
Exponential stability for the wave equation with weak nonmonotone damping.
Exponential stability for Timoshenko model with thermal effect
We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.