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"Least regret control" consists in trying to find a control which "optimizes the situation" with the constraint of not making things too worse with respect to a known reference control, in presence of more or less significant perturbations. This notion was introduced in [7]. It is recalled on a simple example (an elliptic system, with distributed control and boundary perturbation) in Section 2. We show that the problem reduces to a standard optimal control problem for augmented state equations. On...

Least-energy solutions to a non-autonomous semilinear problem with small diffusion coefficient.

Ren, Xiaofeng (1993)

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

L’élément $Q_{1}$ -bulle/ $Q_{1}$

P. Mons, G. Rogé (1992)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Teoremi di completezza

Alberto Cialdea (1987)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In ipotesi molto generali si dimostrano teoremi di completezza nel senso di Picone per l'equazione (1). Come corollario si ottengono teoremi del tipo Runge.

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Calcolo dell'indice dei problemi al contorno e soluzioni deboli

Alberto Cialdea (1986)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

It is proved that Lopatinskii's condition is necessary and sufficient for problem (2.5) to be an index problem. A method is given for the determination of the index.

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Teorema di esistenza per un generale problema al contorno

Alberto Cialdea (1986)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Necessary and sufficient conditions are given for the existence of smooth solutions of the differential equations (1) with the boundary conditions (2). Coefficients of (1) and (2) are only supposed Hölder-continuous.

We announce some results concerning the Dirichlet problem for the Levi-equation in $C^{n}$ . We consider for the sake of simplicity the case $n = 3$ .

Levi's parametrix for some sub-elliptic non-divergence form operators.

Bonfiglioli, Andrea, Lanconelli, Ermanno, Uguzzoni, Francesco (2003)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Le comportement de la résolvante modifiée du laplacien pour des obstacles captifs

Le noyau de Bergman en dimension 2

Le principe du maximum et l'hypoellipticité globale

Le problème de Dirichlet dans l’espace $W_{p}^{1}$

Le problème de Pompeiu

Le problème de Yamabe sur des sous domaines de $S^{n}$

Le problème des surfaces à courbure moyenne prescrite

Le rôle de la frontière dans un problème elliptique avec non-linéarité critique et conditions au bord de Neumann

Least regret control, virtual control and decomposition methods

Least-energy solutions to a non-autonomous semilinear problem with small diffusion coefficient.

L’élément $Q_{1}$ -bulle/ $Q_{1}$

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Teoremi di completezza

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Calcolo dell'indice dei problemi al contorno e soluzioni deboli

L'equazione $\Delta_{2}u+a_{10}(x,y)\frac{\partial u}{\partial x}+a_{01}(x,y)\frac{\partial u% }{\partial y}+a_{00}(x,y)u=F(x,y)$ . Teorema di esistenza per un generale problema al contorno

Leray Lions degenerated problem with general growth condition.

Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines

Les équations elliptiques non linéaires

Les méthodes approximatives de la solution des équations elliptiques non linéaires

Levi-equation in higher dimensions

Levi's parametrix for some sub-elliptic non-divergence form operators.

Currently displaying 41 – 60 of 142