Existence and uniqueness of viscosity solution for Hamilton-Jacobi equation with discontinuous coefficients dependent on time

The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equation, where the hamiltonian is discontinuous with respect to variable, usually interpreted as the spatial one. Obtained generalized solution is continuous, but not necessarily differentiable.

A sharp Remez inequality for trigonometric polynomials

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Jacobi, Ministri Ebredunensis metropolis, dissertatio de Puella Aurelianensi.

D. de Cangé

1.° Jacobi Alexandri le Taneur disputatio physico-mathematica de aequabili motus acceleratione, et de motu telluris : in qua Galilaei decreta de motu gravium perpendiculariter cadentium confirmantur ; et ostenditur vulgarem seu Ptolemaïcam de motu solis opinionem non minùs esse contrariam sacris litteris, quam Copernicanam de motu terrae : ac proinde nihil certi ex iis, quoad illam quaestionem, posse deduci : ad Petrum Cazraeum, societatis Jesu. — 2.° Ejusdem epistolae duae ad eundem, de descensu gravium. — 3.° Petri Cazraei, societatis Jesu, ad Alexandrum le Taneur epistola, qua sententiam Galilaei de descensu gravium impugnat. — 4.° Lettre de monsieur le Taneur au Pere Mersenne, Minime, sur la chûte des corps. — 5.° Ejusdem ad eundem epistola contra Fabrianam de incremento motus accelerati opinionem.

Melchisedechi Thevenotii

Integral inequalities for algebraic and trigonometric polynomials

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Sobolev orthogonal polynomials on a simplex

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Jacobi Sadoleti Epistolarum appendix. Accedunt Hieronymi Nigri et Pauli Sadoleti vitae [V. A. Constantio auctore] ac rariora monumenta, quibus historia saeculi XVI. in iisdem epistolis comprehensa... illustratur

Comprend : Epistolae et orationes

The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties

This paper focuses on the connection between the Brauer group and the 0-cycles of an algebraic variety. We give an alternative construction of the second l-adic Abel-Jacobi map for such cycles, linked to the algebraic geometry of Severi-Brauer varieties on X. This allows us then to relate this Abel-Jacobi map to the standard pairing between 0-cycles and Brauer groups (see [M], [L]), completing results from [M] in this direction. Second, for surfaces, it allows us to present this map according to the more geometrical approach devised by M. Green in the framework of (arithmetic) mixed Hodge structures (see [G]). Needless to say, this paper owes much to the work of U. Jannsen and, especially, to his recently published older letter [J4] to B. Gross.

Reliure de : Epistolae apostolicae Pauli, Jacobi, Petri, Joannis, & Judae. Item Apocalypsis Joannis theologi . Athanasii judicium de adulte-rinis libris Sacrae Scripturae, Des. Erasmo interprete. Epistola Des. Erasmi, de philosophia evangelica

[Bible. N.T. (latin). 1523. Érasme]