Geodesic
A mixed problem for an inhomogeneous wave equation with a summable potential
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1692-1707

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A mixed problem for an inhomogeneous wave equation with fixed ends in the case of a summable potential is studied. Using the Krylov method for acceleration of the convergence of Fourier series, a classical solution under minimal conditions on the initial data and a generalized solution in the case of quadratic summable initial data and perturbing function are obtained. 
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     author = {V. V. Kornev and A. P. Khromov},
     title = {A mixed problem for an inhomogeneous wave equation with a summable potential},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {57},
     number = {10},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_10_a7/}
}
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V. V. Kornev; A. P. Khromov. A mixed problem for an inhomogeneous wave equation with a summable potential. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1692-1707. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_10_a7/