Pôles de la diffusion acoustique et singularités Gevrey 3
Pôles de la matrice de diffusion pour des perturbations captives
Polyèdre de Newton et genre géométrique d'une singularité intersection complète
Polygône de Newton et -fonctions pour les modules microdifférentiels
Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity.
Polynomial diffeomorphisms of C2. IV: The measure of maximal entropy and laminar currents.
Pontryagin algebra of a transitive Lie algebroid
[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials and the Chern-Weil...
Pontryagin duality for convergence groups of unimodular continuous functions
Pontryagin Forms for Manifolds with Framed Singular Strata.
Porous media equation on locally finite graphs
In this paper, we consider two typical problems on a locally finite connected graph. The first one is to study the Bochner formula for the Laplacian operator on a locally finite connected graph. The other one is to obtain global nontrivial nonnegative solution to porous-media equation via the use of Aronson-Benilan argument. We use the curvature dimension condition to give a characterization two point graph. We also give a porous-media equation criterion about stochastic completeness of the graph....
Positive quadratic differential forms : linearization, finite determinacy and versal unfolding
Positive scalar curvature and the Dirac operator on complete riemannian manifolds
Positive solutions for indefinite inhomogeneous Neumann elliptic problems.
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth.
Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary
Prékopa–Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport
We investigate Prékopa-Leindler type inequalities on a Riemannian manifold equipped with a measure with density where the potential and the Ricci curvature satisfy for all , with some . As in our earlier work [14], the argument uses optimal mass transport on , but here, with a special emphasis on its connection with Jacobi fields. A key role will be played by the differential equation satisfied by the determinant of a matrix of Jacobi fields. We also present applications of the method...
Première valeur propre du laplacien et volume des sphères riemanniennes
Preparation theorems for matrix valued functions
We generalize the Malgrange preparation theorem to matrix valued functions satisfying the condition that vanishes to finite order at . Then we can factor near (0,0), where is inversible and is polynomial function of depending on . The preparation is (essentially) unique, up to functions vanishing to infinite order at , if we impose some additional conditions on . We also have a generalization of the division theorem, and analytic versions generalizing the Weierstrass preparation...
Preparation theorems for systems
Prescribing mean curvature: existence and uniqueness problems.