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.

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.

nullD. Durdiev, "Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation,"

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.

[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.