Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term.
Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Harnack’s inequalities for solutions to the mean curvature equation and to the capillarity problem
Harnack's Inequality for Elliptic Differential Equations on Minimal Surfaces.
Harnack's inequality for quasilinear elliptic equations with coefficients in Morrey spaces
Harnack's inequality for solutions of some degenerate elliptic equations.
We prove Harnack's inequality for non-negative solutions of some degenerate elliptic operators in divergence form with the lower order term coefficients satisfying a Kato type contition.
Hartman-Wintner type theorem for PDE with -Laplacian.
Hartree-Fock theory in nuclear physics
Hearing the shape of a general convex domain: an extension to higher dimensions
Hearing the shape of membranes: Further results.
Heat flow and boundary value problem for harmonic maps
Heat kernels and Riesz transforms on nilpotent Lie groups
We consider pure mth order subcoercive operators with complex coefficients acting on a connected nilpotent Lie group. We derive Gaussian bounds with the correct small time singularity and the optimal large time asymptotic behaviour on the heat kernel and all its derivatives, both right and left. Further we prove that the Riesz transforms of all orders are bounded on the Lp -spaces with p ∈ (1, ∞). Finally, for second-order operators with real coefficients we derive matching Gaussian lower bounds...
Hemivariational inequalities governed by the p-Laplacian - Neumann problem
Hessian measures. II.
Hexahedral H(div) and H(curl) finite elements
We study the approximation properties of some finite element subspaces of H(div;Ω) and H(curl;Ω) defined on hexahedral meshes in three dimensions. This work extends results previously obtained for quadrilateral H(div;Ω) finite elements and for quadrilateral scalar finite element spaces. The finite element spaces we consider are constructed starting from a given finite dimensional space of vector fields on the reference cube, which is then transformed to a space of vector fields on a hexahedron using...
Hexahedral H(div) and H(curl) finite elements*
We study the approximation properties of some finite element subspaces of H(div;Ω) and H(curl;Ω) defined on hexahedral meshes in three dimensions. This work extends results previously obtained for quadrilateral H(div;Ω) finite elements and for quadrilateral scalar finite element spaces. The finite element spaces we consider are constructed starting from a given finite dimensional space of vector fields on the reference cube, which is then transformed to a space of vector fields on a hexahedron...
Hierarchical grid coarsening for the solution of the Poisson equation in free space.
High energy asymptotics for N-body scattering matrices with arbitrary channels
High frequency asymptotic solutions of the reduced wave equation on infinite regions with nonconvex boundaries.
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...