Three dimensional contact metric manifolds with vanishing Jacobi operator.
Koufogiorgos, T., Tsichlias, C. (2009)
Beiträge zur Algebra und Geometrie
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Koufogiorgos, T., Tsichlias, C. (2009)
Beiträge zur Algebra und Geometrie
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W. Waliszewski (1966)
Colloquium Mathematicae
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Cyril Imbert, Régis Monneau, Hasnaa Zidani (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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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...
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.
El Haddad, E., Deville, R. (1996)
Journal of Convex Analysis
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Bianca Stroffolini (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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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.
Arkadiusz Misztela (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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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...
J. Anusiak (1964)
Colloquium Mathematicae
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Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
J. Ceder, B. Grünbaum (1967)
Colloquium Mathematicae
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Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
W. B. R. Lickorish, S. Świerczkowski (1964)
Colloquium Mathematicae
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B. Grünbaum (1966)
Colloquium Mathematicae
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