| Titre : |
problèmes aux limites avec conditions aux bord non locales |
| Type de document : |
texte imprimé |
| Auteurs : |
Mohammed Bouzit, Auteur ; Ahmed Lakhdar Marhoune, Directeur de thèse |
| Editeur : |
Constantine : Université Mentouri Constantine |
| Année de publication : |
2006 |
| Importance : |
48 f. |
| Note générale : |
Doctorat d'etat
01 Disponible à la salle de recherche 02 Disponibles au magazin de la B.U.C.
01 CD |
| Langues : |
Anglais (eng) |
| Catégories : |
Français - Anglais
Mathématiques
|
| Tags : |
problème aux limites Condition aux bord non locales |
| Index. décimale : |
510 Mathématiques |
| Résumé : |
The present work is the object of an extension of the method of energy inequalities to new mixed problems for high-order differential equations and high-order differential of mixed type with non classical boundary conditions of integral type. These problems are mathematical models encountered in the theory of thermo conduction, memory materials, semiconductors and the electrochemistry ect… The mixed problems with integral conditions takes more and more interest as a result of the fundamental reason which is the basis of the physical significance of the integral condition as an average, a flux, a total energy, a moment, etc… The existence and uniqueness of the strong solutions in functional
weighted Sobolev space are proved. The used method is the energy equalities method which is based on the research of an operator Mu known as multiplier. This last one depends on the function u, its derivatives and some weight function. We are then conducted to take integrations over the considered domain with a view to equipping E and F with appropriate norms in order to show the existence and uniqueness of the solution of the considered problem once it has been made into the form where L:E→F is the operator generated by the considered problem, E is an Banach space, F a Hilbert space, u∈E and F ∈F . We demonstrate two sided a priori inequalities where C and c are constants. The uniqueness of the solution, said strong, of the considered problems results from these two inequalities. Its existence is ensured by the fact that R(L) is dense in F, which can be proved by the regularly operators, according to the nature of the considered problem. It is convenient to note that the absence of a general theory made it necessarily to investigate each problem separately.
|
| Diplôme : |
Doctorat |
| En ligne : |
../theses/math/BOU4442.pdf |
| Format de la ressource électronique : |
pdf |
| Permalink : |
index.php?lvl=notice_display&id=1310 |
problèmes aux limites avec conditions aux bord non locales [texte imprimé] / Mohammed Bouzit, Auteur ; Ahmed Lakhdar Marhoune, Directeur de thèse . - Constantine : Université Mentouri Constantine, 2006 . - 48 f. Doctorat d'etat
01 Disponible à la salle de recherche 02 Disponibles au magazin de la B.U.C.
01 CD Langues : Anglais ( eng)
| Catégories : |
Français - Anglais
Mathématiques
|
| Tags : |
problème aux limites Condition aux bord non locales |
| Index. décimale : |
510 Mathématiques |
| Résumé : |
The present work is the object of an extension of the method of energy inequalities to new mixed problems for high-order differential equations and high-order differential of mixed type with non classical boundary conditions of integral type. These problems are mathematical models encountered in the theory of thermo conduction, memory materials, semiconductors and the electrochemistry ect… The mixed problems with integral conditions takes more and more interest as a result of the fundamental reason which is the basis of the physical significance of the integral condition as an average, a flux, a total energy, a moment, etc… The existence and uniqueness of the strong solutions in functional
weighted Sobolev space are proved. The used method is the energy equalities method which is based on the research of an operator Mu known as multiplier. This last one depends on the function u, its derivatives and some weight function. We are then conducted to take integrations over the considered domain with a view to equipping E and F with appropriate norms in order to show the existence and uniqueness of the solution of the considered problem once it has been made into the form where L:E→F is the operator generated by the considered problem, E is an Banach space, F a Hilbert space, u∈E and F ∈F . We demonstrate two sided a priori inequalities where C and c are constants. The uniqueness of the solution, said strong, of the considered problems results from these two inequalities. Its existence is ensured by the fact that R(L) is dense in F, which can be proved by the regularly operators, according to the nature of the considered problem. It is convenient to note that the absence of a general theory made it necessarily to investigate each problem separately.
|
| Diplôme : |
Doctorat |
| En ligne : |
../theses/math/BOU4442.pdf |
| Format de la ressource électronique : |
pdf |
| Permalink : |
index.php?lvl=notice_display&id=1310 |
|
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