Efficient preconditioning for sequences of parametric complex symmetric linear systems.
Ein Gewisses Randproblem aus der Theorie der Wärmeleitfähigkeit
Elementary proofs of some basic subtemperature theorems
We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.
Enhancement of Krylov subspace spectral methods by block Lanczos iteration.
Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels.
Équation de la chaleur associée à une fonction plurisousharmonique d'exhaustion et comportement frontière
Une équation de la chaleur est construite dans laquelle le temps est la coordonnée radiale ; il en résulte des formules intégrales et des estimations de l’aire de diviseurs. La théorie de Littlewood-Paley est développée dans le cadre admissible.
Errata to the Paper: On the Heat Equation and the Index Theorem.
Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality
Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method
The identification problem of a functional coefficient in a parabolic equation is considered. For this purpose an output least squares method is introduced, and estimates of the rate of convergence for the Crank-Nicolson time discretization scheme are proved, the equation being approximated with the finite element Galerkin method with respect to space variables.
Error Estimates for Galerkin Methods for Quasilinear Parabolic and Elliptic Differential Equations in Divergence Form.
Error estimates of a difference approximation method for a backward heat conduction problem.
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude de la conduction stationnaire dans un domaine comportant une répartition périodique d'inclusions minces de grande conductivité
Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One half of the space conditions are local, and the other are nonlocal. Extensions of Duhamel principle are obtained. In the case when the initial value condition is a local one i.e. of the form u(x1; :::; xn; 0) = f(x1; :::; xn) the problem reduces...
Existence and uniqueness of solutions of system governed by second order quasilinear integro-partial differential equation of parabolic type.
Existence of a nonstationary Poiseuille solution.
Existence of big pieces of graphs for parabolic problems.
Existence of pseudo almost automorphic solutions for the heat equation with -pseudo almost automorphic coefficients.
Existence results for a fractional equation with state-dependent delay.