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- W2990471582 abstract "We consider a differential operator of order 2 begin{document}$ n $end{document} of the type begin{document}$ A_n u = (-1)^n (a u^{(n)})^{(n)} $end{document} , where begin{document}$ a(x)>0 $end{document} in begin{document}$ [0, 1]setminus{x_0} $end{document} and begin{document}$ a(x_0) = 0 $end{document} . We show that, for any begin{document}$ nin{mathbb{N}} $end{document} , the operator begin{document}$ -A_n $end{document} generates a contractive analytic semigroup of angle begin{document}$ pi/2 $end{document} on begin{document}$ L^2 (0, 1) $end{document} . Note that the domain of begin{document}$ A_n $end{document} depends on the type of degeneracy of begin{document}$ a $end{document} . Our theorems extend some previous results in [ 3 ] where begin{document}$ n = 1 $end{document} ." @default.
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- W2990471582 date "2018-01-01" @default.
- W2990471582 modified "2023-09-24" @default.
- W2990471582 title "Operators of order 2<inline-formula><tex-math id=M1>begin{document}$ n $end{document}</tex-math></inline-formula> with interior degeneracy" @default.
- W2990471582 doi "https://doi.org/10.3934/dcdss.2020128" @default.
- W2990471582 hasPublicationYear "2018" @default.
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