Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data

Abstract

Using the framework of Colombeau algebras of generalized functions, we prove the existence and uniqueness results for global generalized solvability of semi-linear hyperbolic systems with non-linear nonlocal boundary conditions. We admit strong singularities in the differential equations as well as in the initial and boundary conditions.

Keywords:

• Hyperbolic systems
• Non-linear boundary conditions
• Singularities
• Generalized solutions

Additional information

Notes on contributors

Irina Kmit

Email: [email protected]