An Introduction to Sobolev Spaces and Interpolation Spaces [electronic resource] / by Luc Tartar.
Tipo de material:
TextoSeries Lecture Notes of the Unione Matematica Italiana, 3Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Descripción: XXV, 219 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540714835Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Functional analysis | Differential equations, partial | Mathematics | Partial Differential Equations | Functional AnalysisFormatos físicos adicionales: Sin títuloClasificación CDD: 515.353 Clasificación LoC:QA370-380Recursos en línea: de clik aquí para ver el libro electrónico
Contenidos:
Springer eBooksResumen: After publishing an introduction to the NavierStokes 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 now revised and polished it into a text accessible to a larger audience.
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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?.
After publishing an introduction to the NavierStokes 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 now revised and polished it into a text accessible to a larger audience.
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