Geodesic
On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 11-22

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In the present work we consider the problems of correctness of a linear inverse problem for the multidimensional equation of the mixed type of the first kind and of the second order. For this problem, the theorems on existence and uniqueness of the solution are proved in a certain class by "$\varepsilon $-regularization", a priori estimations and of successive approximations methods.
Keywords: multidimensional equation of mixed type of first kind, second order, linear inverse problem, correctness of solution, "$\varepsilon$-regularization", a priori estimation successive approximation method. 
@article{IVM_2019_6_a1,
     author = {S. Z. Djamalov and R. R. Ashurov},
     title = {On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {11--22},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a1/}
}
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S. Z. Djamalov; R. R. Ashurov. On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 11-22. http://geodesic.mathdoc.fr/item/IVM_2019_6_a1/