Results 1 to 10 of about 320,852 (163)
Green functions of higher-order differential operators [PDF]
Journal of Mathematical Physics, 1998 The Green functions of the partial differential operators of even order acting on smooth sections of a vector bundle over a Riemannian manifold are investigated via the heat kernel methods.
Gilkey P. B. +5 more
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Reconstruction of Higher-Order Differential Operators by Their Spectral Data
Mathematics, 2022 This paper is concerned with inverse spectral problems for higher-order (n>2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data for a wide range of differential operators with either regular or ...
Natalia P. Bondarenko
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Higher-Order Differential Operators on a Lie Group and Quantization [PDF]
International Journal of Modern Physics A, 1998 This talk is devoted mainly to the concept of higher-order polarization on a group, which is introduced in the framework of a Group Approach to Quantization, as a powerful tool to guarantee the irreducibility of quantizations and/or representations of ...
Aldaya, V., Guerrero, J., Marmo, G.
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On Algebraically Integrable Differential Operators on an Elliptic Curve [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic operators on special elliptic ...
Pavel Etingof, Eric Rains
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Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics
Advances in Mathematical Physics, 2018 The dynamical symmetries of 1+1-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated.
Francesco Toppan, Mauricio Valenzuela
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its coefficients in a neighborhood of infinity.
Aigerim Kalybay +2 more
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Mathematics, 2023 In this paper, we, for the first time, prove the local solvability and stability of an inverse spectral problem for higher-order (n>3) differential operators with distribution coefficients.
Natalia P. Bondarenko
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Mathematics, 2023 We consider an inverse spectral problem that consists in the recovery of the differential expression coefficients for higher-order operators with separate boundary conditions from the spectral data (eigenvalues and weight numbers).
Natalia P. Bondarenko
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Notes on Higher-Spin Diffeomorphisms
Universe, 2021 Higher-spin diffeomorphisms are to higher-order differential operators what diffeomorphisms are to vector fields. Their rigorous definition is a challenging mathematical problem which might predate a better understanding of higher-spin symmetries and ...
Xavier Bekaert
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Lieb–Thirring inequalities for higher order differential operators [PDF]
Mathematische Nachrichten, 2008 AbstractWe derive Lieb–Thirring inequalities for the Riesz means of eigenvalues of order γ ≥ 3/4 for a fourth order operator in arbitrary dimensions. We also consider some extensions to polyharmonic operators, and to systems of such operators, in dimensions greater than one.
Förster, Clemens, Östensson, Jörgen
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