The globally homeomorphic solutions to Beltrami system in Cn.
The gradient flow motion of boundary vortices
The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations.
The Green Function for Uniformly Elliptic Equations.
The group structure of supergravity
The growth of entire solutions of differential equations of finite and infinite order
For certain Fréchet spaces of entire functions of several variables satisfying some specified growth conditions, we define a constant coefficient differential operator as the transpose of a convolution operation in the dual space of continuous linear functionals and show that for in one of these spaces, their always exists a solution of the differential equation in the same space.
The version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems.
The version of the boundary element method on polygonal domains with quasiuniform meshes
The version of the finite element method with quasiuniform meshes
The Harnack inequality for -harmonic functions.
The heat equation and harmonic maps of complete manifolds.
The heat equation and the shrinking.
The heat equation in riemannian geometry
The heat equation on manifolds as a gradient flow in the Wasserstein space
We study the gradient flow for the relative entropy functional on probability measures over a riemannian manifold. To this aim we present a notion of a riemannian structure on the Wasserstein space. If the Ricci curvature is bounded below we establish existence and contractivity of the gradient flow using a discrete approximation scheme. Furthermore we show that its trajectories coincide with solutions to the heat equation.
The heat flows and harmonic maps of complete noncompact Riemannian manifolds.
The heat kernel on Lie groups.
The heat radiation problem: three-dimensional analysis for arbitrary enclosure geometries.
The heat transform and its use in thermal identification problems for electronic circuits.
The Helmholtz decomposition and the weak Neumann problem in
The Helmholtz decomposition in arbitrary unbounded domains - a theory beyond