Nonexistence of solutions to Cauchy problems for anisotropic pseudoparabolic equations

摘要

We study the nonexistence of nonnegative global weak solutions to the Cauchy problem of anisotropic pseudoparabolic equations and corresponding systems. Using the method of nonlinear capacity, we establish the sufficient conditions for the nonexistence of gobal weak solutions. The result is extended to the case of coupled system of the same type of equations.