Inverse problem for one-dimensional wave equation with matrix potential
2019 ◽
Vol 27
(2)
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pp. 217-223
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Keyword(s):
AbstractWe prove a global uniqueness theorem of reconstruction of a matrix-potential {a(x,t)} of one-dimensional wave equation {\square u+au=0}, {x>0,t>0}, {\square=\partial_{t}^{2}-\partial_{x}^{2}} with zero Cauchy data for {t=0} and given Cauchy data for {x=0}, {u(0,t)=0}, {u_{x}(0,t)=g(t)}. Here {u,a,f}, and g are {n\times n} smooth real matrices, {\det(f(0))\neq 0}, and the matrix {\partial_{t}a} is known.
1970 ◽
Vol 21
(3)
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pp. 337-357
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2013 ◽
Vol 402
(2)
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pp. 612-625
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Keyword(s):
2019 ◽
Vol 64
(7)
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pp. 3068-3073
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2016 ◽
Vol 8
(4)
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pp. 30-30
2011 ◽
Vol 84
(2)
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pp. 381-395
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Keyword(s):
2006 ◽
Vol 229
(2)
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pp. 466-493
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