Summary and Info
This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations.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.The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.Readership: Graduate students interested in functional analysis and partial differential equations.
More About the Author
Alberto Bressan (born 15 June 1956) is an Italian mathematician at Penn State University. His primary field of research is mathematical analysis including hyperbolic systems of conservation laws, impulsive control of Lagrangian systems, and non-cooperative differential games.
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