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| Author | : Michael Bildhauer |
| Publisher | : Springer |
| Total Pages | : 222 |
| Release | : 2003-01-01 |
| Genre | : Mathematics |
| ISBN | : 3540448853 |
Download Convex Variational Problems Book in PDF, ePub and Kindle
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
| Author | : Ivar Ekeland |
| Publisher | : SIAM |
| Total Pages | : 414 |
| Release | : 1999-12-01 |
| Genre | : Mathematics |
| ISBN | : 9781611971088 |
Download Convex Analysis and Variational Problems Book in PDF, ePub and Kindle
This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
| Author | : Michael Bildhauer |
| Publisher | : |
| Total Pages | : 245 |
| Release | : 2001 |
| Genre | : |
| ISBN | : |
Download Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions Book in PDF, ePub and Kindle
| Author | : Michael Bildhauer |
| Publisher | : |
| Total Pages | : |
| Release | : 2011 |
| Genre | : |
| ISBN | : |
Download Convex Variational Problems with Linear Growth Book in PDF, ePub and Kindle
| Author | : Michael Bildhauer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 232 |
| Release | : 2003-06-20 |
| Genre | : Mathematics |
| ISBN | : 9783540402985 |
Download Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions Book in PDF, ePub and Kindle
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
| Author | : Sören Bartels |
| Publisher | : |
| Total Pages | : 130 |
| Release | : 2001 |
| Genre | : |
| ISBN | : |
Download Numerical Analysis of Some Non-convex Variational Problems Book in PDF, ePub and Kindle
Summary ; Zs.-Fassung.
| Author | : Michael Bildhauer |
| Publisher | : |
| Total Pages | : |
| Release | : 2011 |
| Genre | : |
| ISBN | : |
Download Relaxation of Convex Variational Problems with Linear Growth Defined on Classes of Vector-valued Functions Book in PDF, ePub and Kindle
| Author | : R. Tyrrell Rockafellar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 747 |
| Release | : 2009-06-26 |
| Genre | : Mathematics |
| ISBN | : 3642024319 |
Download Variational Analysis Book in PDF, ePub and Kindle
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
| Author | : Ivar Ekeland |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1976 |
| Genre | : |
| ISBN | : |
Download Convex Analysis and Variational Problems Book in PDF, ePub and Kindle
| Author | : Michael Bildhauer |
| Publisher | : |
| Total Pages | : |
| Release | : 2012 |
| Genre | : |
| ISBN | : |
Download Regularization of Convex Variational Problems with Applications to Generalized Newtonian Fluids Book in PDF, ePub and Kindle
