Opening book details…
Can I read Optimal Control of Partial Differential Equations (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 112) on EtoBox?
Optimal Control of Partial Differential Equations (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 112) by Fredi Tröltzsch is a nonfiction available to read on EtoBox.
What is Optimal Control of Partial Differential Equations (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 112) about?
"Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduat
Who reads Optimal Control of Partial Differential Equations (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 112)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Fredi Tröltzsch
- Publisher
- American Mathematical Society
- Published
- 2010
- Language
- EN
- ISBN
- 9780821849040
- Category
- nonfiction
- Subjects
- Mathematics, Stem
More by Fredi Tröltzsch
Browse all works by Fredi Tröltzsch
Similar books
- Partial Differential Equations (Graduate Texts in Mathematics (214)) — Jürgen Jost (2002)
- Domain Decomposition Methods in Optimal Control of Partial Differential Equations (International Series of Numerical Mathematics, 148) — John E. Lagnese, Günter Leugering (auth.) (2004)
- Control of Coupled Partial Differential Equations — K. Ammari, M. Tucsnak, G. Tenenbaum (auth.), Karl Kunisch, Jürgen Sprekels, Günter Leugering, Fredi Tröltzsch (2007)
- Partial Differential Equations II : Qualitative Studies of Linear Equations — Michael E. Taylor (auth.) (1996)
- Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics) — Peter J. Olver (2014)
- Time Optimal Control of Evolution Equations (Progress in Nonlinear Differential Equations and Their Applications, 92) — Gengsheng Wang; Lijuan Wang; Yashan Xu; Yubiao Zhang (2018)