Stability of inverse problems for ultrahyperbolic equations
Fikret Gölgeleyen , Masahiro Yamamoto
Chinese Annals of Mathematics, Series B ›› 2014, Vol. 35 ›› Issue (4) : 527 -556.
Stability of inverse problems for ultrahyperbolic equations
In this paper, the authors consider inverse problems of determining a coefficient or a source term in an ultrahyperbolic equation by some lateral boundary data. The authors prove Hölder estimates which are global and local and the key tool is Carleman estimate.
Ultrahyperbolic equation / Inverse problem / Stability / Carleman estimate
| [1] |
Amirov, A. K., Doctoral Dissertation in Mathematics and Physics, Sobolev Institute of Mathematics, Novosibirsk, 1988. |
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
|
| [17] |
|
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
|
| [22] |
|
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
|
| [27] |
|
| [28] |
|
| [29] |
|
| [30] |
|
| [31] |
|
| [32] |
|
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