Abstract
We consider a system of partial differential equations that is not a Kovalevskaya system. The Cauchy problem and the mixed problem in a smooth domain are studied. We prove the existence of a solution in a Hilbert space H and the continuous dependence on the initial conditions. The Cauchy problem in an unbounded space is solved explicitly.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have