Unboundedness of classical global solutions of parabolic equations with forcing terms
Unboundedness of classical global solutions of parabolic equations with forcing terms
Semilinear parabolic equations with forcing terms are discussed, and sufficient conditions for every classical global solution of boundary value problems to be unbounded on a cylindrical domain inn-dimensional Euclidean space. The approach used is to reduce the multi-dimensional problems to one-dimensional problems for first-order ordinary differential inequalities.