Noncoercive parabolic problems with variable exponents and a lower order term

In perforated domains， the existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents and a lower order term was investigated. In the framework of Sobolev space with variable exponent， the truncation method， the monotone operator theory and regularization method were used to solve the existence problem of renormalized solutions of nonlinear parabolic equations without coercivity condition on a lower order terms.