Search
Search Results
-
A finite element method and variable transformations for a forward-backward heat equation
The Galerkin finite element method for the forward-backward heat equation is generalized to a wider class of equations with the use of a result on...
-
Extremal solutions for nonlinear parabolic problems with discontinuities
This paper examines nonlinear parabolic initial-boundary value problems with a discontinuous forcing term, which is locally of bounded variation....
-
Galerkin and weighted Galerkin methods for a forward-backward heat equation
Galerkin and weighted Galerkin methods are proposed for the numerical solution of parabolic partial differential equations where the diffusion...
-
-
-
Degenerate Parabolic and Elliptic Equations
The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the...
-
Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
In this work, we study surfaces over convex regions in ℝ 2 which are evolving by the mean curvature flow. Here, we specify the angle of contact of the...
-
Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature
Motion by (weighted) mean curvature is a geometric evolution law for surfaces, representing steepest descent with respect to (an)isotropic surface...
-
-
-
A counterexample to uniqueness and regularity for harmonic maps between hyperbolic spaces
We construct a harmonic diffeomorphism from the Poincaré ball H n=1 to itself, whose boundary value is the identity on the sphere S n , and which is...
-
An extension of stabilizing compensators for boundary control systems of parabolic type
We study in this paper the stabilization for boundary control systems of parabolic type by means of feedback controls. Another differential equation...
-
L ∞-convergence of collocation and galerkin approximations to linear two-point parabolic problems
Two semidiscrete collocation approximations using smooth cubic splines are developed as approximations to the solution of two-point linear parabolic...