Three dimensional contact metric manifolds with vanishing Jacobi operator.
Koufogiorgos, T., Tsichlias, C. (2009)
Beiträge zur Algebra und Geometrie
Similarity:
Displaying similar documents to “Tzitzeica figuratrices in Hamilton geometry.”
Three dimensional contact metric manifolds with vanishing Jacobi operator.
On the tagency of sets in a metric space
W. Waliszewski (1966)
Colloquium Mathematicae
Similarity:
A Hamilton-Jacobi approach to junction problems and application to traffic flows
Cyril Imbert, Régis Monneau, Hasnaa Zidani (2013)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
This paper is concerned with the study of a model case of first order Hamilton-Jacobi equations posed on a “junction”, that is to say the union of a finite number of half-lines with a unique common point. The main result is a comparison principle. We also prove existence and stability of solutions. The two challenging difficulties are the singular geometry of the domain and the discontinuity of the Hamiltonian. As far as discontinuous Hamiltonians are concerned, these results seem to...
GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.
The viscosity subdifferential of the sum of two functions in Banach spaces. I: First order case.
El Haddad, E., Deville, R. (1996)
Journal of Convex Analysis
Similarity:
Homogenization of Hamilton-Jacobi equations in Carnot Groups
Bianca Stroffolini (2007)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study an homogenization problem for Hamilton-Jacobi equations in the geometry of Carnot Groups. The tiling and the corresponding notion of periodicity are compatible with the dilatations of the Group and use the Lie bracket generating property.
Optimal control problems with upper semicontinuous Hamiltonians
Arkadiusz Misztela (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
In this paper we give examples of value functions in Bolza problem that are not bilateral or viscosity solutions and an example of a smooth value function that is even not a classic solution (in particular, it can be neither the viscosity nor the bilateral solution) of Hamilton-Jacobi-Bellman equation with upper semicontinuous Hamiltonian. Good properties of value functions motivate us to introduce approximate solutions of equations with such type Hamiltonians. We show that the value...
On set-theoretically independent collections of balls
J. Anusiak (1964)
Colloquium Mathematicae
Similarity:
An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces
Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
On inscribing and circumscribing hexagons
J. Ceder, B. Grünbaum (1967)
Colloquium Mathematicae
Similarity:
An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces
Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
A characterization of the ball
W. B. R. Lickorish, S. Świerczkowski (1964)
Colloquium Mathematicae
Similarity:
The perimeter f Minkowski unit discs
B. Grünbaum (1966)
Colloquium Mathematicae
Similarity:
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
Alessandra Cutrì, Francesca Da Lio (2007)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in where the Hamiltonian may be noncoercive in the gradient As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.