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摘要
In this paper, we investigate the well-posedness of non-autonomous parabolic equations in weighted space L-delta(x)(r)(Omega), where delta(x) is the distance to the boundary. We first establish regularity properties of the extension Dirichlet heat semigroup in L-delta(x)(r)(Omega) and then, under some assumptions, we obtain the existence, uniqueness and regularity of the positive solutions of parabolic equations with critical and subcritical nonlinearity term in those spaces.
- 出版日期2012
- 单位河海大学
