On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case

Three Cauchy problems for $(N + 1)$-dimensional nonlinear Sobolev-type equations arising in the theory of magnetic oscillations in ferrites are considered. Results concerning the existence and uniqueness of local-in-time weak solutions to these problems and the blow-up of these solutions are obtained.