Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation

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DOI: 10.4236/am.2010.12016   PDF   HTML     3,502 Downloads   6,310 Views  

Abstract

The problem of determining the hyperbolic equation coefficient on two variables is considered. Some additional information is given by the trace of the direct problem solution on the hyperplane x = 0. The theorems of local solvability and stability of the solution of the inverse problem are proved.

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D. Durdiev, "Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation," Applied Mathematics, Vol. 1 No. 2, 2010, pp. 124-127. doi: 10.4236/am.2010.12016.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] V. G. Romanov, “Inverse Problems of Mathematical Physics,” in Russian, Publishing House “Nauka”, Moscow, 1984.
[2] V. G. Romanov, “Stability in Inverse Problems,” in Russian, Nauchnyi Mir, Moscow, 2005.
[3] D. K. Durdiev, “A Multidimensional Inverse Problem for an Equation with Memory,” Siberian Mathematical Journal, Vol. 35, No. 3, 1994, pp. 514-521.
[4] D. K. Durdiev, “Some Multidimensional Inverse Problems of Memory Determination in Hyperbolic Equations,” Journal of Mathematical Physics, Analysis, Geometry, Vol. 3, No. 4, 2007, pp. 411-423.
[5] D. K. Durdiev, “Problem of Determining the Nonstationary Potential in a Hyperbolic-Type Equation,” Journal of Theoretical and Mathematical Physics, Vol. 2, No. 156, 2008, pp. 1154-1158.

  
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