Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables
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 → +∞.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1637-1655.
Citation Example: Lavrenyuk S. P., Oliskevych M. O. Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1356-1371.