带有非强制性低阶项的变指标抛物问题

Noncoercive parabolic problems with variable exponents and a lower order term

研究了在穿孔域上带有变指数和带有低阶项的非线性抛物方程的重整化解的存在性结果.通过使用截断法,单调算子理论和正则化方法在变指数Sobolev空间的框架下解决了带有一个不具有强制性的低阶项的非线性抛物方程的重整化解的存在性问题.

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.