The inverse problem for an equation of mixed parabolic-hyperbolic type
К. Б. СабитовSterlitamak Branch of the Academy of Sciences of the Republic of Bashkortostan, Sterlitamak, RussiaÉ. M. SafinSterlitamak Branch of the Academy of Sciences of the Republic of Bashkortostan, Sterlitamak, Russia
2010en
ABI
Abstract
We study the inverse problem related to finding the unknown right-hand side of the equation of mixed parabolic-hyperbolic type in a rectangular domain. A uniqueness criterion for the solution is established. The solution is constructed as the sum of the series in eigenfunctions of the corresponding one-dimensional spectral problem.
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Cited by 90 references