Geodesic
On approximation of coefficient inverse problems for differential equations in functional spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Functional analysis, Tome 133 (2017), pp. 3-80

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This paper is devoted to the theory of approximation of coefficient inverse problems for differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We present general statements of problems and their approximations and review results obtained earlier in the literature.
Keywords: abstract differential equation, abstract hyperbolic problem, abstract elliptic problem, abstract parabolic problem, $C_0$-semigroup, Banach space, semidiscretization, inverse overdetermined problem, finite-difference scheme, discrete semigroup. 
@article{INTO_2017_133_a0,
     author = {D. G. Orlovsky and S. I. Piskarev},
     title = {On approximation of coefficient inverse problems for differential equations in functional spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--80},
     publisher = {mathdoc},
     volume = {133},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_133_a0/}
}
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D. G. Orlovsky; S. I. Piskarev. On approximation of coefficient inverse problems for differential equations in functional spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Functional analysis, Tome 133 (2017), pp. 3-80. http://geodesic.mathdoc.fr/item/INTO_2017_133_a0/