An Introduction to Sobolev Spaces and Interpolation Spaces

• Κύριος συγγραφέας: Tartar, Luc (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 3
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Analysis.; Partial Differential Equations.; Functional Analysis.

After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has...

Πίνακας περιεχομένων:

• Historical Background
• The Lebesgue Measure, Convolution
• Smoothing by Convolution
• Truncation; Radon Measures; Distributions
• Sobolev Spaces; Multiplication by Smooth Functions
• Density of Tensor Products; Consequences
• Extending the Notion of Support
• Sobolev's Embedding Theorem, 1 ? .