Existence and Uniqueness for Some 3rd Order Dissipative Problems with Various Boundary Conditions
We briefly present new results on the existence and uniqueness of solutions u of a large class of initial-boundary-value problems characterized by a quasi-linear third order equation on a finite space interval with Dirichlet, Neumann or pseudoperiodic boundary conditions. The class includes equations arising in Superconductor Theory and in the Theory of Viscoelastic Materials.
nonlinear higher order initial-boundary value problems nonautonomous systems 35g30 37c60 82d55 74d05