论文标题
具有室内退化和广义温泽尔边界条件的第四阶差异操作员
Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions
论文作者
论文摘要
在本文中，我们考虑了第四阶操作员A1U：=（au“）”和a2u：= au“”，分别以发散形式和非差异形式，其中a在[0，1]中定义为r+中的值，r+为r+，在间隔的内部点中脱胶。使用Semigroup技术，在适当的假设下，我们研究了与广义温ZELL边界条件相关的这些操作员的生成特性，证明了相应的抛物线问题的良好姿势。
In this paper we consider the fourth order operators A1u := (au")" and A2u := au"" in divergence form and non divergence form, respectively, where a, defined in [0, 1] with values in R+, degenerates in an interior point of the interval. Using the semigroup technique, under suitable assumptions on a, we study the generation property of these operators associated to generalized Wentzell boundary conditions, proving the well posedness of the corresponding parabolic problems.
