ANALYTIC SOLUTIONS FOR THE STEPHEN' S INVERSE PROBLEM WITH LOCAL BOUNDARY CONDITIONS INCLUDING ELLIPTIC AND HYPERBOLIC EQUATIONS

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JAHANSHAHI M.; SAJJADMANESH M.

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2013 | Volume:39 | Issue:5 Page(s): 855-864

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Title

ANALYTIC SOLUTIONS FOR THE STEPHEN' S INVERSE PROBLEM WITH LOCAL BOUNDARY CONDITIONS INCLUDING ELLIPTIC AND HYPERBOLIC EQUATIONS

Author(s)

JAHANSHAHI M. | SAJJADMANESH M. | Issue Writer Certificate

Keywords

LOCAL BOUNDARY CONDITIONS

INVERSE PROBLEM

FUNDAMENTAL SOLUTION

DIRAC’S DELTA FUNCTION

Abstract

In this paper, two INVERSE PROBLEMs of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of the boundary is unknown and in the second problem, the whole of the boundary is unknown. For both of the problems, first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and boundary conditions of the main problem, analytic solution of the main INVERSE PROBLEM is derived.

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APA: Copy

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. SID. https://sid.ir/paper/647868/en

Vancouver: Copy

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[Internet]. 2013;39(5):855-864. Available from: https://sid.ir/paper/647868/en

IEEE: Copy

M. JAHANSHAHI, and 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, vol. 39, no. 5, pp. 855–864, 2013, [Online]. Available: https://sid.ir/paper/647868/en

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