Inverse Problems with Unknown Boundary Conditions and Final Overdetermination for Time Fractional Diffusion-Wave Equations in Cylindrical Domains
Keyword(s):
Inverse problems to reconstruct a solution of a time fractional diffusion-wave equation in a cylindrical domain are studied. The equation is complemented by initial and final conditions and partly given boundary conditions. Two cases are considered: (1) full boundary data on a lateral hypersurface of the cylinder are given, but the boundary data on bases of the cylinder are specified in a neighborhood of a final time; (2) boundary data on the whole boundary of the cylinder are specified in a neighborhood of the final time, but the cylinder is either a cube or a circular cylinder. Uniqueness of solutions of the inverse problems is proved. Uniqueness for similar problems in an interval and a disk is established, too.
2013 ◽
Vol 35
(1)
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pp. 49-62
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2011 ◽
Vol 382
(1)
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pp. 426-447
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2018 ◽
Vol 374
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pp. 300-330
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2018 ◽
Vol 330
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pp. 380-397
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2015 ◽
Vol 290
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pp. 174-195
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2019 ◽
Vol 97
(8)
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pp. 1621-1635
2013 ◽
Vol 18
(2)
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pp. 260-273
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