Conditional stability in determining a heat source

By Mourad Choulli, Masahiro Yamamoto. 2004

103 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ed3532b2b9286749badbeca2c56a6b93eec5f751

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

1. Yue Zhao
2. Masahiro Yamamoto
3. Liang Yan
4. C. Fu
5. Oleg Yu. Imanuvilov
6. Gunther Uhlmann
7. Enrique Zuazua
8. Michael V. Klibanov

In Control and Systems Engineering

1. Yue Zhao
2. Masahiro Yamamoto
3. Liang Yan
4. Yiu Chung Benny Hon
5. C. Fu
6. Oleg Yu. Imanuvilov
7. Sylvain Ervedoza
8. Ganghua Yuan

In Mathematical Physics

1. Leevan Ling
2. Masahiro Yamamoto
3. Yue Zhao
4. C. Fu
5. Fangfang Dou
6. Liang Yan
7. Ting Wei
8. Oleg Yu. Imanuvilov

Citations in the corpus

• Identification of source locations in two-dimensional heat equations (2006, background): “conditional stability results for the heat source identification problem can be found in [3, 5, 17].”
• A computational method for identifying a spacewise‐dependent heat source (2010, background): “Studies on the uniqueness and conditional stability can be found in [4, 5].”
• Inverse moving source problems for parabolic equations (2023, background): “A typical inverse source problem considered in these literatures is to assume that the source function has the form F (x, t) = f(x)g(t) and determine the spatial function f(x) given the temporal function g(t) [4, 5].”