Results 81 to 90 of about 11,357 (198)
Comptes Rendus. Mathématique, 2020 Over the $(1,N)$-dimensional supercircle $S^{1|N}$, we classify $\mathfrak{n}(1|N)$-invariant linear differential operators acting on the superspaces of weighted densities on $S^{1|N}$, where $\mathfrak{n}(1|N)$ is the Heisenberg Lie superalgebra.
Khalfoun, Hafedh, Laraiedh, Ismail
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Journal of Mathematics, Volume 2024, Issue 1, 2024.The goal of this paper project is to find a minimum time null controllability of the fractional heat equation in one dimension using the notion of strategic zone actuators. As part of our research activities, we had already addressed this theme, and this publication project is a logical continuation in the fractional case.
Cheikh Seck +3 more
wiley +1 more source
A Canonical Trace Associated with Certain Spectral Triples
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies ...
Sylvie Paycha
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Advances in Mathematical Physics, 2016 Two kinds of Darboux-Bäcklund transformations (DBTs) are constructed for the q-deformed Nth KdV hierarchy with self-consistent sources (q-NKdVHSCS) by using the q-deformed pseudodifferential operators.
Hongxia Wu +3 more
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Electronic Journal of Differential Equations, 2009 We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are ...
Claudia Garetto
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NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
Forum of Mathematics, Sigma, 2017 We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
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On Some Degenerate Pseudodifferential Operators
Doklady Mathematics, 2019 In this paper, a new class of degenerate pseudo-differential operators is investigated, with a variable symbol depending on the complex parameter. Pseudodifferential operators are constructed by a special integral transform. Theorems on the composition and boundedness of these operators in special weighted spaces are proved.
Baev, A. D. +2 more
openaire +2 more sources
Relativistic wave equations with fractional derivatives and pseudodifferential operators
Journal of Applied Mathematics, 2002 We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, but the ...
Petr Závada
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Weighted trace cochains; a geometric setup for anomalies
, 2005 We extend formulae which measure discrepancies for regularized traces on classical pseudodifferential operators to regularized trace cochains, regularized traces corresponding to 0-regularized trace cochains.
Paycha, Sylvie
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On the nuclear trace of Fourier integral operators
Revista Integración, 2019 In this paper we characterise the r-nuclearity of Fourier integral operators on Lebesgue spaces. Fourier integral operators will be considered in Rn, the discrete group Zn, the n-dimensional torus and symmetric spaces (compact homogeneous manifolds).
Duván Cardona
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