Elliptic Differential Operators and Spectral Analysis

• Κύριοι συγγραφείς: Edmunds, D. E. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Evans, W.D (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Partial differential equations.; Differential equations.; Functional analysis.; Operator theory.; Partial Differential Equations.; Ordinary Differential Equations.; Functional Analysis.; Operator Theory.

This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature. Starting with the basics of elliptic operators and their naturally assoc...

Πίνακας περιεχομένων:

• 1. Preliminaries
• 2. The Laplace Operator
• 3. Second-order elliptic equations
• 4. The classical Dirichlet problem for second-order elliptic operators
• 5. Elliptic operators of arbitrary order
• 6. Operators and quadratic forms in Hilbert space
• 7. Realisations of second-order linear elliptic operators
• 8. The Lp approach to the Laplace operator
• 9. The p-Laplacian
• 10. The Rellich inequality
• 11. More properties on Sobolev embeddings
• 12. The Dirac Operator.