Fundamentals of Applied Functional Analysis : Distributions, Sobolev Spaces, Nonlinear Elliptic Equations (Chapman and Hall /crc Monographs and Survey

Fundamentals of Applied Functional Analysis : Distributions, Sobolev Spaces, Nonlinear Elliptic Equations (Chapman and Hall /crc Monographs and Survey

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  • 製本 Hardcover:ハードカバー版／ページ数 399 p.
  • 言語 ENG
  • 商品コード 9780582246942
  • DDC分類 515.7

Full Description


This volume provides an introduction to modern concepts of linear and nonlinear functional analysis. Its purpose is also to provide an insight into the variety of deeply interlaced mathematical tools applied in the study of nonlinear problems.

Contents

Lebesgue Measure. Lebesgue Integral. Lp-Spaces. Spaces of Distributions. Introduction to Sobolev Spaces. Elliptic Boundary Value Problems. Solvability of Nonlinear Elliptic Equations. Topological Degree and ItsApplications. Appendix. Solutions and Hints. Notation. References. Index.