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Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften, 314) by David R. Adams, Lars Inge Hedberg is a nonfiction available to read on EtoBox.

What is Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften, 314) about?

Function spaces, especially those spaces that have become known as Sobolev spaces, and their natural extensions, are now a central concept in analysis. In particular, they play a decisive role in the modem theory of partial differential equations (PDE). Potential theory, which grew out of the theory of the electrostatic or gravita tional potential, the Laplace equation, the Dirichlet problem, etc. , had a fundamen tal role in the development of functional analysis and the theory of Hilbert space. Later, potential theory was strongly influenced by functional analysis. More re cently, ideas from potential theory have enriched the theory of those more general function spaces that appear naturally in the study of nonlinear partial differential equations. This book is motivated by the latter development. The connection between potential theory and the theory of Hilbert spaces can be traced back to C. F. Gauss [181], who proved (with modem rigor supplied almost a century later by O. Frostman [158]) the existence of equilibrium potentials by minimizing a quadratic integral, the energy. This theme is pervasive in the work of such mathematicians as D. Hilbert, Ch. -J. de La Vallee Poussin,

Who reads Function Spaces and Potential Theory (Grundlehren der mathematischen Wissenschaften, 314)?

Author

David R. Adams, Lars Inge Hedberg

Publisher

Springer Berlin Heidelberg : Imprint : Springer

Published

1996

Language

EN

ISBN

9783662032824

Category

nonfiction

Subjects

Mathematics, Stem