Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach
Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points
Let be a weak solution of a quasilinear elliptic equation of the growth with a measure right hand term . We estimate at an interior point of the domain , or an irregular boundary point , in terms of a norm of , a nonlinear potential of and the Wiener integral of . This quantifies the result on necessity of the Wiener criterion.
Pointwise Fourier Inversion: a Wave Equation Approach.
Pointwise Fourier Inversion on Tori and Other Compact Manifolds.
Pointwise multipliers of Besov spaces of continuous functions.
Poisson formulæ for resonances.
Poisson kernel characterization of Reifenberg flat chord arc domains
Poisson kernels of drifted Laplace operators on trees and on the half-plane
Starting with the computation of the appropriate Poisson kernels, we review, complement, and compare results on drifted Laplace operators in two different contexts: homogeneous trees and the hyperbolic half-plane.
Poisson relation for the scattering kernel and inverse scattering by obstacles
Poisson-Boltzmann equation in ℝ³
The electric potential u in a solute of electrolyte satisfies the equation Δu(x) = f(u(x)), x ∈ Ω ⊂ ℝ³, . One studies the existence of a solution of the problem and its properties.
Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations
Polar sets for supersolutions of degenerate elliptic equations.
Polarized abelian varieties and the heat equations
Pôles de diffusion engendrés par un coin
Pôles de la matrice de diffusion pour des perturbations captives
Pólya's conjecture in the presence of a constant magnetic field
Polygône de Newton et -fonctions pour les modules microdifférentiels
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
We introduce a new variational method for the numerical homogenization of divergence form elliptic, parabolic and hyperbolic equations with arbitrary rough (L∞) coefficients. Our method does not rely on concepts of ergodicity or scale-separation but on compactness properties of the solution space and a new variational approach to homogenization. The approximation space is generated by an interpolation basis (over scattered points forming a mesh of resolution H) minimizing the L2 norm of the source...
Polyhomogeneous solutions of wave equations in the radiation regime
While the physical properties of the gravitational field in the radiation regime are reasonably well understood, several mathematical questions remain unanswered. The question here is that of existence and properties of gravitational fields with asymptotic behavior compatible with existence of gravitational radiation. A framework to study those questions has been proposed by R. Penrose (R. Penrose, “Zero rest-mass fields including gravitation”, Proc. Roy. Soc. London A284 (1965), 159-203), and developed...
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen.