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Continuous dependence of solutions to mixed boundary value problems for a parabolic equation.

Djibibe, Moussa Zakari, Tcharie, Kokou, Yurchuk, Nikolay Iossifovich (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Continuous dependence of the entropy solution of general parabolic equation

Mohamed Maliki (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

We consider the general parabolic equation : $u_{t} - Δ b (u) + d i v F (u) = f$ in $Q =] 0, T [\times ℝ^{N}, T > 0$ with $u_{0} \in L^{\infty} (ℝ^{N}),$ $for a ....Continuous dependence on modeling for some well-posed perturbations of the backward heat equation. Ames, K.A., Payne, L.E.

(1999)

Journal of Inequalities and Applications [electronic only]Continuous dependence on obstacles in double global obstacle problems. Olek, Anna, Szczepania, Kuba

(2003)

Annales Academiae Scientiarum Fennicae. MathematicaContinuous extendibility of solutions of the Neumann problem for the Laplace equation Dagmar Medková

(2003)

Czechoslovak Mathematical Journal A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.Continuous extendibility of solutions of the third problem for the Laplace equation Dagmar Medková

(2003)

Czechoslovak Mathematical Journal A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.Continuous host-macroparasite models with application to aquaculture. Marquet, Catherine Bouloux

(2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]Continuum limits of particles interacting via diffusion. Alikakos, Nicholas D., Fusco, Giorgio, Karali, Georgia

(2004)

Abstract and Applied AnalysisControl for Schrödinger operators on 2-tori: rough potentials Jean Bourgain, Nicolas Burq, Maciej Zworski

(2013)

Journal of the European Mathematical Society For the Schrödinger equation, (i \partial_{t} + \nabla) u = 0 on a torus, an arbitrary non-empty open set Ω provides control and observability of the solution: ∥u {|_{t = 0}∥}_{L^{2} (𝕋^{2})} \leq K_{T} {∥u∥}_{L^{2} ([0, T] \times Ω)} . We show that the same result remains true for (i \partial_{t} + \nabla - V) u = 0 where V \in L^{2} (𝕋^{2}), and 𝕋^{2} is a (rational or irrational) torus. That extends the results of [1], and [8] where the observability was proved for V \in C (𝕋^{2}) and conjectured for V \in L^{\infty} (𝕋^{2}) . The higher dimensional generalization remains open for V \in L^{\infty} (𝕋^{n}) .Control of a clamped-free beam by a piezoelectric actuator Emmanuelle Crépeau, Christophe Prieur

(2006) ESAIM: Control, Optimisation and Calculus of Variations We consider a controllability problem for a beam, clamped at one boundary and
free at the other boundary, with an attached piezoelectric actuator. By
Hilbert Uniqueness Method (HUM)
and new results on diophantine approximations, we
prove that the space of exactly initial controllable data depends on the
location of the actuator. We also illustrate these results with numerical
simulations.Contrôlabilité exacte pour des systèmes à mèmoire. Jin Hai Yan

(1992) Revista Matemática de la Universidad Complutense de Madrid Combining HUM and compactness arguments the exact controllability is prove for time dependent smooth kernels.Contrôle et stabilisation d'ondes électromagnétiques Kim Dang Phung

(2000) ESAIM: Control, Optimisation and Calculus of VariationsContrôle et stabilisation d'ondes
électromagnétiques Kim Dang Phung

(2010) ESAIM: Control, Optimisation and Calculus of Variations We consider the exact controllability and stabilization of Maxwell
equation by using results on the propagation of singularities of the
electromagnetic field. We will assume geometrical control condition and use
techniques of the work of Bardos et al. on the wave
equation. The problem of internal stabilization will be treated with more
attention because the condition divE=0 is not preserved by the system of
Maxwell with Ohm's law.Contrôle et stabilisation hyperboliques G. Lebeau

(1989/1990) Séminaire Équations aux dérivées partielles (Polytechnique)Controllability of the Benjamin-Bona-Mahony equation. Adames, N., Leiva, H., Sánchez, J.

(2008) Divulgaciones MatemáticasControllable systems of partial differential equations František Tumajer

(1986) Aplikace matematiky In the paper definitions of various kinds of stability and boundedness of solutions of linear controllable systems of partial differential equations are introduced and their interconnections are derived. By means of Ljapunov's functions theorems are proved which give necessary and sufficient conditions for particular kinds of stability and boundedness of the solutions.Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results Francesca Bucci

(2008) Applicationes Mathematicae We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary in case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity of the optimal control theory developed by Acquistapace et al. [Adv. Differential Equations, 2005], which ensures...Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria Felipe Alvarez, Hedy Attouch

(2001) ESAIM: Control, Optimisation and Calculus of Variations It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria Felipe Alvarez, Hedy Attouch

(2010) ESAIM: Control, Optimisation and Calculus of Variations It is established convergence to a particular equilibrium for weak solutions of abstract linear
equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear
hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result
in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a
particular equilibrium via the introduction of an asymptotically...Convergence and partial regularity for weak solutions of some nonlinear elliptic equation : the supercritical case Frank Pacard

(1994) Annales de l'I.H.P. Analyse non linéaireCurrently displaying 161 -
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Displaying 161 – 180 of 249

Continuous dependence of solutions to mixed boundary value problems for a parabolic equation.

Continuous dependence of the entropy solution of general parabolic equation

Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.

Continuous dependence on obstacles in double global obstacle problems.

Continuous extendibility of solutions of the Neumann problem for the Laplace equation

Continuous extendibility of solutions of the third problem for the Laplace equation

Continuous host-macroparasite models with application to aquaculture.

Continuum limits of particles interacting via diffusion.

Control for Schrödinger operators on 2-tori: rough potentials

Control of a clamped-free beam by a piezoelectric actuator

Contrôlabilité exacte pour des systèmes à mèmoire.

Contrôle et stabilisation d'ondes électromagnétiques

Contrôle et stabilisation d'ondes électromagnétiques

Contrôle et stabilisation hyperboliques

Controllability of the Benjamin-Bona-Mahony equation.

Controllable systems of partial differential equations

Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results

Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria

Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria

Convergence and partial regularity for weak solutions of some nonlinear elliptic equation : the supercritical case

Currently displaying 161 – 180 of 249