A functional calculus for almost sectorial operators and applications to abstract evolution equations

112 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Attractivity for fractional evolution equations with almost sectorial operators (2018, methodology): “Preliminaries We firstly introduce some special functions and classes of functions which will be used in the following, for more details, we refer to [16, 17].”
On semilinear Cauchy problems with non-dense domain (2009, background): “In parabolic equations, due to the boundary conditions it is well known that elliptic operators are not in general Hille- Yosida operators but almost sectorial operators (see Da Prato [6], Okazawa [29], Periago and Straub [31] and references therein).”