Nonexistence of global solutions for a class of two-time nonlinear evolution equations
Nonexistence results of global solutions for a class of ultraparabolic equations and systems involving the fractional Laplacian operator are derived. The proofs are based on the choice of a suitable test function in the weak formulation of the considered problems. The considered equations and systems have their applications in diffusion theory in porous media.
global solution ultraparabolic equations fractional laplacian porous media