In this paper, two inverse problems of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. For the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and boundary conditions of main problem, analytic solution of unknown function of main inverse problem is calculated.
Jahanshahi, M., & Sajjadmanesh, M. (2013). Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations. Bulletin of the Iranian Mathematical Society, 39(5), 855-864.
MLA
M. Jahanshahi; M. Sajjadmanesh. "Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations". Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 855-864.
HARVARD
Jahanshahi, M., Sajjadmanesh, M. (2013). 'Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations', Bulletin of the Iranian Mathematical Society, 39(5), pp. 855-864.
VANCOUVER
Jahanshahi, M., Sajjadmanesh, M. Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations. Bulletin of the Iranian Mathematical Society, 2013; 39(5): 855-864.