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Published in:
1998 | OriginalPaper | Chapter
Boundary Value Problems for the Heat Equation
Author : Jeffery Cooper
Published in: Introduction to Partial Differential Equations with MATLAB
Publisher: Birkhäuser Boston
Included in: Professional Book Archive
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Up to now we have studied fairly broad qualitative properties of solutions of the heat equation. We have not attempted to solve problems with boundary conditions assigned at both ends of a bar of finite length. In this chapter we study these problems and exploit the theory of linear operators to give a unified treatment of the many possible combinations of boundary conditions.