M. Grigolia

On the Solvability and Well-Posedness of Initial Problems for Nonlinear Hyperbolic Equations of Higher Order

abstract:
For nonlinear hyperbolic equations of higher order with two independent variables sufficient conditions for the solvability and well-posedness of the initial problems are found.

Mathematics Subject Classification: 35L30, 35L75

Key words and phrases: Nonlinear hyperbolic equations of higher order with two independent variables, initial problem, generalized solution, well-posedness