03123nam a22004815i 4500 978-0-387-27236-8 DE-He213 20260521091842.0 cr nn 008mamaa 100301s2006 xxu| s |||| 0|eng d 9780387272368 99780387272368 10.1007/b138797 doi CICY 519.6 23 Neittaanmaki, Pekka. author. Optimization of Elliptic Systems [recurso electrónico] : Theory and Applications / by Pekka Neittaanmaki, Dan Tiba, Jürgen Sprekels. New York, NY : Springer New York, 2006. XV, 507 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Springer Monographs in Mathematics, 1439-7382 Preface -- Introductory topics -- Existance -- Optimality conditions -- Discretization -- Unknown domains -- Optimization of curved mechanical systems -- Appendix 1: Convex mappings and monotone operators -- Appendix 2: Elliptic equations and variational inequalities -- Appendix 3: Domain convergence -- References. This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important application in science and technology, has experienced an impressive development during the last two decades. This monograph aims to address some of the pressing unsolved questions in the field. The exposition concentrates along two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout this monograph, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible in order to include larger classes of possible applications. The book is organized into six chapters that give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples. This monograph is addressed primarily to mathematics graduate students and researchers, however much of this material will also prove useful for scientists from physics, mechanics, and engineering. MATHEMATICS. DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICAL OPTIMIZATION. MATHEMATICS. OPTIMIZATION. PARTIAL DIFFERENTIAL EQUATIONS. APPLICATIONS OF MATHEMATICS. Tiba, Dan. author. Sprekels, Jürgen. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387272351 Springer Monographs in Mathematics, 1439-7382 http://dx.doi.org/10.1007/b138797 Ver el texto completo en las instalaciones del CICY ddc ER 32584 32584 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 519.6 2025-07-10 08:39:38 2025-07-10 ER