American Institute of Mathematical Sciences

February  2009, 3(1): 17-41. doi: 10.3934/ipi.2009.3.17

A positivity principle for parabolic integro-differential equations and inverse problems with final overdetermination

 1 Institute of Cybernetics and Institute of Mathematics, Tallinn University of Technology, Akadeemia tee 21, Tallinn, 12618, Estonia 2 Institute of Mathematics, Tallinn University of Technology, Ehitajate tee 5, Tallinn, 12618, Estonia

Received  June 2008 Revised  January 2009 Published  February 2009

A positivity principle for parabolic integro-differential equations is proved. By means of this principle, uniqueness, existence and stability for an inverse source problem and two inverse coefficient problems are established.
Citation: Jaan Janno, Kairi Kasemets. A positivity principle for parabolic integro-differential equations and inverse problems with final overdetermination. Inverse Problems and Imaging, 2009, 3 (1) : 17-41. doi: 10.3934/ipi.2009.3.17
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