A mixed problem for an inhomogeneous wave equation with a summable potential


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Abstract

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.

About the authors

V. V. Kornev

Saratov State University

Email: info@pleiadesonline.com
Russian Federation, Saratov, 410012

A. P. Khromov

Saratov State University

Email: info@pleiadesonline.com
Russian Federation, Saratov, 410012

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