نتایج جستجو برای: non selfadjoint differential operators

تعداد نتایج: 1649292  

Journal: :Journées Équations aux dérivées partielles 2013

Journal: :International Journal of Mathematics and Mathematical Sciences 2003

Journal: :Journal of Functional Analysis 2009

Journal: :Journal of Functional Analysis 1990

Journal: :Numerische Mathematik 2011
Carsten Carstensen Joscha Gedicke Volker Mehrmann Agnieszka Miedlar

This paper presents adaptive algorithms for eigenvalue problems associated with non-selfadjoint partial differential operators. The basis for the developed algorithms is a homotopy method which departs from a wellunderstood selfadjoint problem. Apart from the adaptive grid refinement, the progress of the homotopy as well as the solution of the iterative method are adapted to balance the contrib...

2007
Charlotte Wahl

We define a new topology, weaker than the gap topology, on the space of selfadjoint unbounded operators on a separable Hilbert space. We show that the subspace of selfadjoint Fredholm operators represents the functor K from the category of compact spaces to the category of abelian groups and prove a similar result for K. We define the spectral flow of a continuous path of selfadjoint Fredholm o...

2008
Fernando Gómez

For classical dynamical systems time operators are introduced as selfadjoint operators satisfying the so called weak Weyl relation (WWR) with the unitary groups of time evolution. Dynamical systems with time operators are intrinsically irreversible because they admit Lyapounov operators as functions of the time operator. For quantum systems selfadjoint time operators are defined in the same way...

2017
Birgit Jacob Christiane Tretter Carsten Trunk Hendrik Vogt

We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations z̈(t) +Dż(t) +A0z(t) = 0 in a Hilbert space. Our main tool is the quadratic numerical range for which we establish the spectral inclusion property under weak assumptions on the operators involved; in particular, the damping operator only needs to be accretive a...

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