Existence and Uniqueness of an Inverse Memory Kernel for an Integro-Differential Parabolic Equation with Free Boundary-Reference-Cited by-同舟云学术

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Existence and Uniqueness of an Inverse Memory Kernel for an Integro-Differential Parabolic Equation with Free Boundary

Published:2017-07-14 Issue:2 Volume:24 Page:237-252
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Wu Bin,Gao Ying,Yan Lin,Wu Siyuan,Wang Zewen

Funder

NSFC

Ground Project of Science and Technology of Jiangxi Universities

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s10883-017-9372-9/fulltext.html

Reference27 articles.

1. Colombo F, Guidetti D. A global in time existence and uniqueness result for a semilinear integrodifferential parabolic inverse problem in Sobolev spaces. Math Models Methods Appl Sci. 2007;17:537–565.

2. Colombo F. An inverse problem for the strongly damped wave equation with memory. Nonlinearity. 2007;20:659–683.

3. Colombo F, Guidetti D. Identification of the memory kernel in the strongly damped wave equation by a flux condition. Commun Pure Appl Anal. 2009;8:601–620.

4. Hetmaniok E, Słota D, Wituła R, Zielonka A. Solution of the one-phase inverse Stefan problem by using the homotopy analysis method. Appl Math Model. 2015; 39:6793–6805.

5. Janno J, Lorenzi A. Recovering memory kernels in parabolic transmission problems. J Inverse Ill-Posed Probl. 2008;16:239–265.

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