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A generalisation of the form method for accretive forms and operators

机译:增生形式和算子的形式方法的一般化

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摘要

The form method as popularised by Lions and Kato is a successful device to associate m-sectorial operators with suitable elliptic or sectorial forms. M(c)Intosh generalised the form method to an accretive setting, thereby allowing to associate m-accretive operators with suitable accretive forms. Classically, the form domain is required to be densely embedded into the Hilbert space. Recently, this requirement was relaxed by Arendt and ter Elst in the setting of elliptic and sectorial forms.
机译:Lions和Kato推广使用的表单方法是一种成功的设备,可将m级部门的操作员与合适的椭圆形或扇形形式相关联。 M(c)Intosh将形式方法推广到增生设置,从而允许将m增生算子与合适的增生形式相关联。传统上,需要将表单域密集地嵌入到希尔伯特空间中。最近,Arendt和ter Elst在设置椭圆形和扇形形式时放宽了此要求。

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