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1.

図書
図書
1. Nonlinear analysis and continuum mechanics : papers for the 65th birthday of James Serrin (: (alk. paper))
Giuseppe Buttazzo ... [et al.], editors
出版情報: New York : Springer, c1998  x, 148 p. ; 25 cm
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2.

図書
図書
2. One-dimensional variational problems : an introduction
Giuseppe Buttazzo and Mariano Giaquinta, and Stefan Hildebrandt
出版情報: Oxford : Clarendon Press, 1998  viii, 262 p. ; 24 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 15
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目次情報: 続きを見る
Introduction
Classical problems and indirect methods / 1：
Absolutely continuous functions and Sobolev spaces / 2：
Semicontinuity and existence results / 3：
Regularity of minimizers / 4：
Some applications / 5：
Scholia / 6：
References
Index
Introduction
Classical problems and indirect methods / 1：
Absolutely continuous functions and Sobolev spaces / 2：
3.

図書
図書
3. Motion by mean curvature and related topics : proceedings of the international conference held at Trento, July 20-24, 1992
edited by Giuseppe Buttazzo and Augusto Visintin
出版情報: Berlin ; New York : W. de Gruyter, 1994  viii, 219 p. ; 25 cm
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4.

図書
図書
4. Developments in partial differential equations and applications to mathematical physics
edited by G. Buttazzo, G.P. Galdi and L. Zanghirati
出版情報: New York : Plenum Press, c1992  viii, 246 p. ; 26 cm
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5.

電子ブック
ＥＢ
5. Optimal Transportation and Applications
Luigi Ambrosio, Luigi Ambrosio, Luis A. Caffarelli, S. Salsa, Yann Brenier, Giuseppe Buttazzo, L. A. Caffarelli, Sandro Salsa, Cédric Villani
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin / Heidelberg, 2003
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目次情報: 続きを見る
The Monge-Ampère Equation and Optimal Transportation, an elementary review / Luis Caffarelli
Optimal Transportation / 1：
The continuous case / 2：
The dual problem / 3：
Existence and Uniqueness / 4：
The potential equation / 5：
Some remarks on the structure of the equation / 6：
Optimal Shapes and Masses, and Optimal Transportation
Problems / Giuseppe Buttazzo ; Luigi De Pascale
Introduction
Some classical problems
The isoperimetric problem / 2.1：
The Newton's problem of optimal aerodynamical profiles / 2.2：
Optimal Dirichlet regions / 2.3：
Optimal mixtures of two conductors / 2.4：
Mass optimization problems
Optimal transportation problems
The optimal mass transportation problem: Monge and / 4.1：
Kantorovich formulations
The PDE formulation of the mass transportation problem / 4.2：
Relationships between optimal mass and optimal transportation
Further results and open problems
A vectorial example / 6.1：
A p-Laplacian approximation / 6.2：
Optimization of Dirichlet regions / 6.3：
Optimal transporting distances / 6.4：
References
Optimal transportation, dissipative PDE's and functional inequalities / Cedric Villani
Some motivations
A study of fast trend to equilibrium
A study of slow trend to equilibrium
Estimates in a mean-field limit problem
Otto's differential point of view
Extended Monge-Kantorovich Theory
Yann Brenier
Abstract
Generalized geodesics and the Monge-Kantorovich theory
Generalized geodesics
Extension to probability measures
A decomposition result
Relativistic MKT
A relativistic heat equation / 2.5：
Laplace's equation and Moser's lemma revisited / 2.6：
Generalized Harmonic functions
Classical harmonic functions / 3.1：
Open problems / 3.2：
Multiphasic MKT
Generalized extremal surfaces
MKT revisited as a subset of generalized surface theory / 5.1：
Degenerate quadratic cost functions / 5.2：
Recovery of the Maxwell equations
Derivation of a set of nonlinear Maxwell equations
An Euler-Maxwell-type system
Notation / Luigi Ambrosio ; Aldo Pratelli
Duality and optimality conditions
G-convergence and G-asymptotic expansions
1-dimensional theory
Transport rays and transport set
A stability result / 7：
A counterexample / 8：
Appendix: disintegration of measures / 9：
The Monge-Ampère Equation and Optimal Transportation, an elementary review / Luis Caffarelli
Optimal Transportation / 1：
The continuous case / 2：
6.

電子ブック
ＥＢ
6. Optimal Urban Networks via Mass Transportation
Giuseppe Buttazzo, Aldo Pratelli, Sergio Solimini, Eugene Stepanov
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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目次情報: 続きを見る
Introduction / 1：
Problem Setting / 2：
Notation and Preliminaries / 2.1：
Properties of Optimal Paths and Relaxed Costs / 2.2：
Optimal Connected Networks / 3：
Optimization Problem / 3.1：
Properties of the Optimal Networks / 3.2：
Average Distance Problem / 3.3：
Relaxed Problem and Existence of Solutions / 4：
Relaxed Problem Setting / 4.1：
Properties of Relaxed Minimizers / 4.2：
Non-existence of Classical Solutions / 4.3：
Existence of Classical Solutions / 4.4：
Topological Properties of Optimal Sets / 5：
Transiting Mass Function / 5.1：
Ordered Transport Path Measures / 5.2：
Closedness of Optimal Sets / 5.3：
Number of Connected Components of Optimal Sets / 5.4：
Optimal Sets and Geodesics in the Two-Dimensional Case / 6：
Preliminary Constructions / 6.1：
Proof of the Main Result / 6.2：
Appendix
The Mass Transportation Problem / A：
Some Tools from Geometric Measure Theory / B：
Measures as Duals of the Continuous Functions / B.1：
Push-forward and Tensor Product of Measures / B.2：
Measure Valued Maps and Disintegration Theorem / B.3：
T-convergence / B.4：
References
Index
Introduction / 1：
Problem Setting / 2：
Notation and Preliminaries / 2.1：
7.

電子ブック
ＥＢ
7. Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design
Giuseppe Buttazzo, Aldo Frediani
出版情報: SpringerLink Books - AutoHoldings , Springer US, 2012
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