Lecture notes on functional analysis: With applications to linear partial differential equations
- Island American Mathematical Society 2013
- xii, 250 p. Includes bibliographical reference and index
The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra.