Fundamentals of applied functional analysis : distributions - Sobolev spaces - nonlinear elliptic equations
著者
書誌事項
Fundamentals of applied functional analysis : distributions - Sobolev spaces - nonlinear elliptic equations
(Pitman monographs and surveys in pure and applied mathematics, vol. 91)
Longman, 1998
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内容説明・目次
内容説明
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.
目次
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.
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