Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Quenching Profile for a Quasilinear Parabolic Equation

where 00, Z>0, and uq(x) >0, Vx G [—1, Z]. Without loss of generality, we may assume that uq(x) is smooth and bounded above by 1 such that uo(±Z) = 1. Since uo(x) is positive, the local (in time) existence and uniqueness of a classical solution of the problem (1.1)—(1.3) are trivial (see [8]). Many results in quenching, such as single point quenching and profiles, are similar to those b...

Rational Approximation for a Quasilinear Parabolic Equation

Approximation theorems, analogous to known results for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for a nonlinear parabolic equation, Burgers’ equation.

The Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space

In this paper, we study the existence of the following optimum solution for the system of differential equation ...

An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities

A rate of convergence is obtained for a truncation method for the numerical solution of a class of parabolic variational inequalities.