| Abstract: |
| The Unified Transform Method or Method of Fokas has been successful in explicitly solving interface problems for constant coefficient linear evolution equations. Stated differently, the method can solve linear evolution equations with piecewise constant coefficients. Such problems arise in lots of applications. Even more important are linear evolution equations with spatially variable coefficients. I will show how by considering the limit of piecewise-constant coefficient problems, we may obtain explicit solution representations for variable coefficient problems. |
|