Hadamard's fundamental solution and multiple-characteristic problems.
Harmonic Differential Operators.
Harmonic metrics and connections with irregular singularities
We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface with the complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same complex.
Harmonic wavelet solution of Poisson's problem.
Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Hausdorffovy míry a odstranitelné singularity parciálních diferenciálních rovnic
Heat Flow out of Regions in IRm.
Helmholtz's vorticity transport equation with partial discretization in bounded 3-dimensional domains.
Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. The lingering controversies related to various diseases are highlighted. A simple biomathematical model of bone marrow - peripheral blood dynamics in the normal state is proposed and used to investigate cell behavior in normal hematopoiesis from a mathematical viewpoint. Analysis of the steady state and properties of the model are used to make postulations about the...
High Frequency limit of the Helmholtz Equations
We derive the high frequency limit of the Helmholtz equations in terms of quadratic observables. We prove that it can be written as a stationary Liouville equation with source terms. Our method is based on the Wigner Transform, which is a classical tool for evolution dispersive equations. We extend its use to the stationary case after an appropriate scaling of the Helmholtz equation. Several specific difficulties arise here; first, the identification of the source term (which does not share the...
Higher-order differential equations represented by connections on prolongations of a fibered manifold.
The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
Highfrequency asymptotics of the field scattered by an obstacle near tangential rays.
Hodographic study of plane micropolar fluid flows.
Holes and obstacles
Homoclinic orbits for a class of infinite dimensional hamiltonian systems
Homogénéisation des équations de la diffusion stationnaire dans les domaines cylindriques aplatis
Homogeneous variational problems: a minicourse
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.
Homogenization limits of diffusion equations in thin domains
Homotopy perturbation method for solving reaction-diffusion equations.
How many are affine connections with torsion
The question how many real analytic affine connections exist locally on a smooth manifold of dimension is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of variables.