### Abstract

The close relation between Hermitian wavelets transforms and the diffusion equation is used to derive a one-parameter family of distributed sources as solutions to the inverse diffusion problem in R^{N} × R_. The class of solutions is interpreted in terms of energetically dominant events in the wavelet representation, where the scale of the event is proportional to its age. The construction procedure is a straightforward extension of the inverse wavelet transform formula. Simple examples illustrate the method.

Original language | English (US) |
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Pages (from-to) | 617-624 |

Number of pages | 8 |

Journal | Applied Mathematics Letters |

Volume | 14 |

Issue number | 5 |

DOIs | |

State | Published - Jul 1 2001 |

### Keywords

- Inverse diffusion
- Source distribution
- Wavelets

### ASJC Scopus subject areas

- Applied Mathematics

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## Cite this

Lewalle, J. (2001). A class of solutions for the inverse diffusion problem.

*Applied Mathematics Letters*,*14*(5), 617-624. https://doi.org/10.1016/S0893-9659(00)00203-2