Invariant subspace classification and exact solutions to the generalized nonlinear D-C equation
Applied Mathematics Letters, 2018 In this paper, the complete invariant subspace classification of the generalized nonlinear diffusion–convection (D–C) equation is presented firstly. Then the explicit solutions to the nonlinear equations are constructed based on the invariant subspace ...
Hanze Liu
semanticscholar +1 more source
Infinite dimensional linear groups with a spacious family of $G$-invariant subspaces [PDF]
Математичні Студії, 2013 Let $F$ be a field, $A$ be a vector space over $F$, $GL (F, A)$ be the group of all automorphisms of the vector space $A$. If $B leq A$ then denote by $mathop{m Core}_G (B)$ the largest $G$-invariant subspace of~$B$.
A. V. Sadovnichenko
doaj
Estimation of the infinitesimal generator by square-root approximation [PDF]
, 2017 For the analysis of molecular processes, the estimation of time-scales, i.e., transition rates, is very important. Estimating the transition rates between molecular conformations is -- from a mathematical point of view -- an invariant subspace projection
Donati, Luca +3 more
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On Invariant Graph Subspaces [PDF]
Integral Equations and Operator Theory, 2016 In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs.
Makarov, Konstantin A. +2 more
openaire +2 more sources
Invariant subspace problem and compact operators on non-Archimedean Banach spaces
Extracta Mathematicae, 2020 In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact operators on an infinite-dimensional Banach space E over a nontrivial complete non-Archimedean valued field K.
M. Babahmed, Azzedine El asri
doaj
Invariant Subspace and Classification of Soliton Solutions of the Coupled Nonlinear Fokas-Liu System
Frontiers in Physics, 2019 In this work, the coupled nonlinear Fokas-Liu system which is a special type of KdV equation is studied using the invariant subspace method (ISM). The method determines an invariant subspace and construct the exact solutions of the nonlinear partial ...
Aliyu Isa Aliyu +3 more
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The Invariant Subspace Problem for Separable Hilbert Spaces
AxiomsIn this paper, we prove that every bounded linear operator on a separable Hilbert space has a non-trivial invariant subspace. This answers the well-known invariant subspace problem.
Roshdi Khalil +3 more
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Permutation-invariant codes encoding more than one qubit
, 2016 A permutation-invariant code on m qubits is a subspace of the symmetric subspace of the m qubits. We derive permutation-invariant codes that can encode an increasing amount of quantum information while suppressing leading order spontaneous decay errors ...
Fitzsimons, Joseph, Ouyang, Yingkai
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Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping [PDF]
, 2016 We consider the model of a quantum harmonic oscillator governed by a Lindblad master equation where the typical drive and loss channels are multi-photon processes instead of single-photon ones; this implies a dissipation operator of order 2k with integer
Azouit, Remi +2 more
core +6 more sources
Energy preserving evolutions over Bosonic systems [PDF]
QuantumThe exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is used to drive states back to the code-space –
Paul Gondolf, Tim Möbus, Cambyse Rouzé
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