OPERATORS OF ORDER 2n WITH INTERIOR DEGENERACY

GENNI FRAGNELLI; JEROME A. GOLDSTEIN; ROSA MARIA MININNI; SILVIA ROMANELLI

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OPERATORS OF ORDER 2n WITH INTERIOR DEGENERACY

机译：订单2N的运营商，内部退化

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We consider a differential operator of order 2n of the type A_nu = (-1)~n(au~((n)))~((n)), where a(x) ＞ 0 in [0, 1]{x_0} and a(x0) = 0. We show that, for any n∈N, the operator-A_n generates a contractive analytic semigroup of angle π/2 on L~2(0, 1). Note that the domain of A_n depends on the type of degeneracy of a. Our theorems extend some previous results in [3] where n = 1.

机译：我们考虑类型A_NU =（-1）〜n（au〜（n）））〜（（n））的差分运算符，其中a（x）> 0中[0,1] { X_0}和A（x0）= 0.我们表明，对于任何N∈N，操作员-A_N在L〜2（0,1）上产生角度π/ 2的收缩分析半群。请注意，A_N的域取决于A的退化类型。我们的定理在[3]中扩展了一些先前的结果，其中n = 1。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2020年第12期|3417-3426|共10页
作者
GENNI FRAGNELLI; JEROME A. GOLDSTEIN; ROSA MARIA MININNI; SILVIA ROMANELLI;
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作者单位

Department of Mathematics University of Bari Aldo Moro Via E. Orabona 4 70125 Bari Italy;

Department of Mathematical Sciences University of Memphis 373 Dunn Hall Memphis TN 38152-3240 USA;

Department of Mathematics University of Bari Aldo Moro Via E. Orabona 4 70125 Bari Italy;

Department of Mathematics University of Bari Aldo Moro Via E. Orabona 4 70125 Bari Italy;

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正文语种 eng
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Linear differential operators of order 2n; interior degeneracy; operators in divergence form; Dirichlet boundary conditions; analytic semigroups;

机译：订单2n的线性差分运算符;内部退化;运营商处于发散形式;Dirichlet边界条件;分析半群;

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5. Degeneracies in the spectra of linear self-adjoint operators. [D] . Teytel, Mikhail D. 1996

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OPERATORS OF ORDER 2n WITH INTERIOR DEGENERACY

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