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 AM  Vol.1 No.2 , July 2010
Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation
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.
Cite this paper: nullD. 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.
References

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[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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