Geodesic
The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 907-918

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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.
Keywords: equation of mixed parabolic-hyperbolic type, spectral problem, irrational algebraic number
Mots-clés : Weierstrass test for uniform convergence. 
@article{MZM_2010_87_6_a11,
     author = {K. B. Sabitov and E. M. Safin},
     title = {The {Inverse} {Problem} for an {Equation} of {Mixed} {Parabolic-Hyperbolic} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {907--918},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a11/}
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K. B. Sabitov; E. M. Safin. The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 907-918. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a11/