Harnack's Inequality for Elliptic Differential Equations on Minimal Surfaces.
Harnack's inequality for parabolic operators with singular low order terms.
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
Hausdorffovy míry a odstranitelné singularity parciálních diferenciálních rovnic
Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.
Hearing the shape of a general convex domain: an extension to higher dimensions
Hearing the shape of membranes: Further results.
Heat Conduction Dominated by Electromagnetic Radiation
Heat distribution in a medium with concentrated perturbation of density.
Heat Equation and the Volume of Tubes.
Heat flow and boundary value problem for harmonic maps
Heat flow, brownian motion and newtonian capacity
Heat Flow out of Regions in IRm.
Heat flows for extremal Kähler metrics
Let be a closed polarized complex manifold of Kähler type. Let be the maximal compact subgroup of the automorphism group of . On the space of Kähler metrics that are invariant under and represent the cohomology class , we define a flow equation whose critical points are the extremal metrics,i.e.those that minimize the square of the -norm of the scalar curvature. We prove that the dynamical system in this space of metrics defined by the said flow does not have periodic orbits, and that its...
Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups.
Let G be a Lie group. The main new result of this paper is an estimate in L2 (G) for the Davies perturbation of the semigroup generated by a centered sublaplacian H on G. When G is amenable, such estimates hold only for sublaplacians which are centered. Our semigroup estimate enables us to give new proofs of Gaussian heat kernel estimates established by Varopoulos on amenable Lie groups and by Alexopoulos on Lie groups of polynomial growth.
Heat kernel bounds for higher order elliptic operators
Heat kernel estimates for a class of higher order operators on Lie groups
Let G be a Lie group of polynomial volume growth. Consider a differential operator H of order 2m on G which is a sum of even powers of a generating list of right invariant vector fields. When G is solvable, we obtain an algebraic condition on the list which is sufficient to ensure that the semigroup kernel of H satisfies global Gaussian estimates for all times. For G not necessarily solvable, we state an analytic condition on the list which is necessary and sufficient for global Gaussian estimates....