On an inverse source problem for the heat equation. Application to a pollution detection problem
By A. El Badia, T. Ha-Duong. 2002
162 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/044bc9aab4776364d3d32dc4787c72adea07247f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Masahiro Yamamoto
- Loc Hoang Nguyen
- Thuy Thi-Thien Le
- Oleg Yu. Imanuvilov
- Gunther Uhlmann
- Enrique Zuazua
- Michael V. Klibanov
- Ibtissem Ben Aicha
In Control and Systems Engineering
- Masahiro Yamamoto
- Yiu Chung Benny Hon
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Ganghua Yuan
- Michael V. Klibanov
- Xu Liu
In Mathematical Physics
- Leevan Ling
- Masahiro Yamamoto
- Loc Hoang Nguyen
- Thuy Thi-Thien Le
- Ting Wei
- Oleg Yu. Imanuvilov
- Sylvain Ervedoza
- Gunther Uhlmann
Citations in the corpus
- Identification of source locations in two-dimensional heat equations (2006, background): “For example, an accurate estimation of pollutant source [7] is crucial to environmental safeguard in cities with high population.”
- A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data (2019, background): “termine the spatially distributed temperature inside a solid from the boundary measurement of the heat and heat ux in the time domain [2]; identify the pollution on the surface of the rivers or lakes [3]; eectively monitor the heat conductive processes in steel industries, glass and polymer forming ”