A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains
A simple regularization method for the ill-posed evolution equation
The nonhomogeneous backward Cauchy problem , where is a positive self-adjoint unbounded operator which has continuous spectrum and is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.
A simple-minded computation of heat kernels on Heisenberg groups
We compute the heat kernel on the classical and nonisotropic Heisenberg groups, and on the free step two nilpotent groups , by an elementary method, in particular without using Laguerre calculus.
A solution of the boundary value problem in heat conduction
A Stefan problem for the heat equation subject to an integral condition
A trace theorem for caloric functions.
A two-dimensional inverse heat conduction problem for estimating heat source.
A variational approach to the theory of temperature boundary layer.
A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions.
A wavelet based space-time adaptive numerical method for partial differential equations
A wavelet Galerkin method applied to partial differential equations with variable coefficients.
Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung
This paper is devoted to a study of harmonic mappings of a harmonic space on a harmonic space which are related to a family of harmonic mappings of into . In this way balayage in may be reduced to balayage in . In particular, a subset of is polar if and only if is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.
About existence and uniqueness of the restricted total least squares estimation.
Absorption semigroups and Dirichlet boundary conditions.
An algorithm for the one-phase Stefan problem
An application of classical analysis.
An Approximation Technique for the Numerical Solution of a Stefan Problem.
An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.
We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.
An existence theorem for semilinear functional parabolic equations
An extension theorem for supertemperatures.