ON A SOBOLEV TYPE EQUATION DEFINED ON THE GRAPH

The author considers the initial-boundary value problem for the Boussinesqe - L'ove equation which is defined on graph by reducing it to the Cauchy problem for the Sobolev type equation of the second order. The author obtains a theorem on the phase space of such equation.

Keywords

Sobolev type equations, phase space, M,N-functions, differential equations defined on graphs