Preface ......................................................... i
Abstract ....................................................... ii
Sammandrag - Abstract in Swedish .............................. iii
Background Publications ........................................ iv
Chapter 1. Introduction ......................................... 1
Chapter 2. The Sideways Heat Conduction Equation ................ 7
1. The quarter plane problem .................................... 7
2. The finite geometry problem .................................. 8
3. Fundamental solution properties .............................. 9
4. Regularization .............................................. 16
5. Solving the sideways heat equation as a Cauchy-problem ...... 20
Chapter 3. Boundary Identification ............................. 23
1. A simple case - analytical solution through linearization ... 23
2. The integral equation approach .............................. 30
3. The sideways heat conduction eq. and boundary
identification .............................................. 37
4. Further development of the boundary identification method ... 54
Chapter 4. Conclusions ......................................... 57
Bibliography ................................................... 59
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