Sectorial forms and degenerate differential operators
By Wolfgang Arendt, A. T. Elst. 2008
119 citations recorded by the source corpus.
If a is a densely defined sectorial form in a Hilbert space which is possibly not closable, then we associate in a natural way a holomorphic semigroup generator with a. This allows us to remove in several theorems of semigroup theory the assumption that the form is closed or symmetric. Many examples are provided, ranging from complex sectorial differential opera- tors, to Dirichlet-to-Neumann operators and operators with Robin or Wentzell boundary conditions.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f910ea1c56c1f12aa5dbcaa238dbb07c1fec533d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Boundary Value Problems, Weyl Functions, and Differential Operators (2020, background): “, in [36, 43, 44, 47, 48, 54, 56, 57, 248, 301, 357, 359, 363, 553, 555, 556], where also accretive and sectorial extensions, and associated closed forms are treated, and see also [552, 580, 581, 582, 636, 725].”
- The Dirichlet-to-Neumann operator on rough domains (2010, unknown): “The latter follows from [5], Theorem 2.”
- Boundary pairs associated with quadratic forms (2012, background): “[7] W. Arendt and A. F. M. ter Elst, From forms to semigroups, Spectral theory, mathematical system theory, evolution equations, differential and difference equations, Oper.”