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.
Fieldless methods for the simulation of stationary and nonstationary induction heating
Fifth-order numerical methods for heat equation subject to a boundary integral specification.
Finite difference method for the parabolic problem with delta function
Fourier problem with bounded Baire data
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.