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Cours de Semigroupes et Applications aux EDPs

Cours de Semigroupes et Applications aux EDPs


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About the Book

La théorie des semigroupes d'opérateurs linéaires bornés sur des espaces de Banach devient un outil indispensable dans beaucoup de problèmes de l'analyse moderne tels que: équations aux dérivées partielles, équations différentielles et équations d'évolution de la chaleur, d'onde et de Schrödinger. Dans cet esprit ce document est composé de cinq chapitres précédés d'une introduction détaillée. Chaque chapitre est composé de plusieurs sections dans lesquelles nous développons les différents aspects du sujet du chapitre. Ensuite, le deuxième chapitre est consacré à l'étude d'une introduction à la théorie des semigroupes à un paramètre d'opérateurs linéaires non bornés dans un espace de Banach et propriétés élémentaires du générateur infinitésimal d'un semigroupe où on expose les théorèmes de Hille-Yosida et Lumer-Philips. Dans les trois derniers chapitres, la plupart des outils et des matériels suivent A. Pazy. Le troisième chapitre est consacré à l'étude des problèmes d'évolution homogène et non homogène sous l'angle de la théorie des semigroupes. On va s'intéresser dans la quatrième chapitre à étudier en détails le problème abstrait de Cauchy.


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Product Details
  • ISBN-13: 9786203452662
  • Publisher: KS Omniscriptum Publishing
  • Publisher Imprint: Editions Universitaires Europeennes
  • Height: 229 mm
  • No of Pages: 208
  • Spine Width: 12 mm
  • Width: 152 mm
  • ISBN-10: 6203452661
  • Publisher Date: 14 Mar 2023
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Weight: 363 gr


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