George M. Rassias, Themistocles M. Rassias

Differential Geometry, Calculus of Variations, and Their Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 544
• Erscheinungstermin: 31. Mai 2023
• Englisch
• ISBN-13: 9781000943948
• Artikelnr.: 68085859

Autorenporträt

George M. Rassias

Inhaltsangabe

1. Categories of Dynamical Models 2. Almost Universal Maps and the Almost
Fixed Point Property 3. On the Natural Approach to Flow Problems 4.
Differential Geometry and Lagrangian Formalism 5. The Geometry of
Bicharacteristics and Stability of Solvability 6. The Simplest Nonlinear
Yang-Mills Theory that Works 7. Euler, Morse, and the Calculus of
Variations 8. The Birth and Early Developments of Pade Approximants 9. On
the Approximation of Solutions of Quasivariatlonal Inequalities with
Application to an Abstract Obstacle Problem 10. Helmholtz Decomposition of
Wp,S Vector Fields 11. Nonlinear Dispersive Waves and Variational
Principles 12. A Priori Growth and Hslder Estimates for Harmonic Mappings
13. Conservation Laws in Gauge Field Theories 14. The Borel Spectral
Sequence: Some Remarks and Applications 15. Newton, Euler, and Poe in the
Calculus of Variations 16. Stability of Minimum Points for Problems with
Constraints 17. Leonhard Euler: Mathematical Modeller and Model for
Mathematicians 18. Noncommutative Calculus of Variations 19. On the Role of
Reciprocity Conditions in the Formulation of Conservation Laws and
Variational Principles 20. Variational Principles in Soliton Physics 21.
Some Finite Codimensional Lie Subgroups of DiffW(M) 22. Exterior Forms and
Optimal Control Theory 23. The Range of Relative Harmonic Dimensions 24.
The Coincidence Set for Two-Dimensional Area Minimizing Surfaces in Rn
Which Avoid a Convex Obstacle 25. On the Basins of Attraction of Gradient
Vector Fields 26. Global Aspects of the Continuation Method 27.
Applications of Smale Theory to the n-Body Problem of MechanIcs-Astronomy
28. On the Morse-Smale Index Theorem for Minimal Surfaces 29. A Cartan Form
for the Field Theory of Carathodory in the Calculus of Variations of
Multiple Integrals 30. The Ky Fan Minimax Principle, Sets with Convex
Sections, and Variational Inequalities 31. Some Remarks about Variational
Problems with Constraints Gerhard Strohmer 32. Inverse Problem: Its General
Solution 33. On the Stability of a Functional Which is Approximately
Additive or Approximately Quadratic on A-Orthogonal Vectors