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Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables

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Abstract

We investigate a mixed problem for a weakly nonlinear first-order hyperbolic system with two independent variables in bounded and unbounded domains. Assuming that the nonlinearities are monotonic, we obtain conditions for the existence and uniqueness of a generalized solution; these conditions do not depend on the behavior of a solution as x → +∞.

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Authors and Affiliations

  1. Politechnika Krakowska, Kraków, Poland

    S. P. Lavrenyuk

  2. Lviv National University, Lviv

    M. O. Oliskevych

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  1. S. P. Lavrenyuk
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  2. M. O. Oliskevych
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Lavrenyuk, S.P., Oliskevych, M.O. Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables. Ukrainian Mathematical Journal 54, 1637–1655 (2002). https://doi.org/10.1023/A:1023780219565

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