A wavelet Galerkin method applied to partial differential equations with variable coefficients

We consider the problem $K(x)u_{xx}=u_{t}$ , $0<x<1$, $tgeq 0$, where $K(x)$ is bounded below by a positive constant. The solution on the boundary $x=0$ is a known function $g$ and $u_{x}(0,t)=0$. This is an ill-posed problem in the sense that a small disturbance on the boundary specification...

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Bibliographic Details
Main Authors: Jose Roberto Linhares De Mattos, Ernesto Prado Lopes
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/10/l2/abstr.html