Source localization and sensor placement in environmental monitoring
Open Access
|Sep 2010References
- Afifi, L., El Jai, A. and Merry, M. (2000). Detection and sources reconstruction in a tube,(2): 149-159.
- Afifi, L., El Jai, A. and Merry, M. (2001). Regional detection and reconstruction of unknown internal or boundary sources,(2): 319-348.
- Alvez, C., Silvestre, A. L., Takahashi, T. and Tuscnak M. (2009). Solving inverse source problems using observability (with),(3): 1632-1659.
- Butkovskii, A. G. and Pustylnikov, A. M. (1987)., Ellis Horwood, Chichester.
- Dagan, G. (1987). Theory of solute transport by groundwater,: 183-215.
- Dagan, G. (1989)., Springer-Verlag, Heidelberg, p. 465.
- Demetriou, M. (2009). Centralized and decentralized policies for the containment of moving source in 2D diffusion processes using sensor/actuator network,, pp. 127-132.
- Devooght, J. and Smidts, O. F. (1996). Transport of radionuclides in stochastic media: 1. The quasi asymptotic approximation,(6): 499-516.
- Dolecki, Sz. (1973). Observation for the one-dimensional heat equation,: 291-305.
- Dolecki, Sz. and Russell, D. L. (1977). A general theory of observation and control,: 185-219.
- Fattorini, H. O. and Russell, D. L. (1974). Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations,: 45-69.
- Friedman, A. (1964)., Prentice-Hall, Englewood Cliffs, NJ.
- Isakov, V. (2009)., Springer, New York, NY, p. 360
- Khapalov, A. Y. (1994a).-exact observability of the heat equation with scanning pointwise sensor,(4): 1037-1051.
- Khapalov, A. Y. (1994b). Localization of unknown sources for parabolic systems on the basis of available observations,(8): 1305-1322.
- Khapalov, A. Y. (1996). On unique continuation of the solutions of the parabolic equation from a curve,(1): 451-463.
- Khapalov, A. Y. (1998). Exact null-controllability for the semilinear heat equation with mobile controls of degenerate support,, Mathematics Department, Washington State University, Pullman, WA.
- Khapalov, A. Y. (2001). Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation,(7): 231-252.
- Khapalov, A. Y. (2010)., Lecture Notes in Mathematics, Vol. 1995, Springer, Heidelberg/Dordrecht/London/New York, NY.
- Komornik, V. and Yamamoto, M. (2002). Upper and lower estimates in determining point sources in a wave equation,(2): 319-329.
- Komornik, V. and Yamamoto, M. (2005). Estimation of point sources and applications to inverse problems,(6): 2051-2070.
- Kurzhanski, A. B. and Khapalov, A. Y. (1990). Mathematical problem motivated by environmental monitoring,, p. 5.
- Ladyzhenskaja, O. H., Solonnikov, V. A. and Ural'ceva, N. N. (1968)., AMS, Providence, RI.
- Matthes, J., Gruell, L. and Keller, H. (2005). Source localization by spatially distributed electronic noses for advection and diffusion,(5): 1711-1719.
- Nicaise, S. and Zair, O. (2004). Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results,(20): 1-17.
- PAGIS (1989)., Nuclear Science and Technology, Joint Research Centre, EUR 11775, 11776 EN.
- Puel, J.-P. and Yamamoto, M. (1995). Applications de la controlabilite exacte à quelques problèmes inverses hyperboliques,(10): 1171-1176.
- Saut, J.-C. and Scheurer, B. (1987). Unique continuation for some evolution equations,(1): 118-139.
- Seinfeld, J. H. (1986),, Wiley Interscience, Somerset, NJ.
- Shukla, J. B., Hallam T. G. and Capasso V. (Eds.) (1987)., Elsevier, Amsterdam.
- Sivergina, I. F., Polis, M. P. and Kolmanovsky, I. (2003). Source identification for parabolic equations,(2-3): 141-157.
- Tzanos, P. and Zefran, M. (2006). Stability analysis of information based control for biochemical source localization,, pp. 3116-3121.
- Uciński, D. (2000). Optimal sensor location for parameter estimation of distributed processes,(13): 1235-1248.
- Uciński, D. (2005)., CRC Press, Boca Raton, FL.
- Wang, Y. H. (2007). Global uniqueness and stability for an inverse plate problem,(1): 161-173.
- Williams, M. M. R. (1992). A new model for describing the transport of radionuclides through fractured rocks,(10-12): 791-824.
- Williams, M. M. R. (1993). Radionuclides transport through fractured rocks,(3): 279-297.
- Yamamoto, M. (1995). Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method,(2): 481-496.
Language: English
Page range: 445 - 458
Published on: Sep 27, 2010
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
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© 2010 Alexander Khapalov, published by University of Zielona Góra
This work is licensed under the Creative Commons License.