Results 11 to 20 of about 119,737 (282)
Weighted boundedness of multilinear pseudo-differential operators
AIMS Mathematics, 2021 In this paper, the weighted boundedness for some multilinear operators generated by the pseudo-differential operators and the weighted Lipschitz functions are obtained.
Dazhao Chen
doaj +1 more source
Global functional calculus for operators on compact Lie groups [PDF]
, 2014 In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator. Consequently, we provide a symbolic descriptions of complex powers of such
Ruzhansky, Michael, Wirth, Jens
core +2 more sources
Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Bao, Gang, Symes, William W.
openaire +2 more sources
Non-Locality and Ellipticity in a Gauge-Invariant Quantization [PDF]
, 1999 The quantum theory of a free particle in two dimensions with non-local boundary conditions on a circle is known to lead to surface and bulk states. Such a scheme is here generalized to the quantized Maxwell field, subject to mixed boundary conditions. If
COSIMO STORNAIOLO +3 more
core +3 more sources
A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
Mathematics, 2020 A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator ...
Benjamin Akers, Tony Liu, Jonah Reeger
doaj +1 more source
Nonharmonic analysis of boundary value problems [PDF]
, 2015 In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator.
Ruzhansky, Michael, Tokmagambetov, Niyaz
core +3 more sources
Mathematical and Computational Applications, 2023 This article derives approximate formulations for Rayleigh waves on a coated orthorhombic elastic half-space with a prescribed vertical load acting as an elastic Winkler foundation.
Ali M. Mubaraki
doaj +1 more source
On the index of pseudo-differential operators on compact Lie groups [PDF]
, 2019 In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense of Ruzhansky and Turunen).
Cardona Sanchez, Duvan
core +1 more source
On the disentanglement of Gaussian quantum states by symplectic rotations
Comptes Rendus. Mathématique, 2020 We show that every Gaussian mixed quantum state can be disentangled by conjugation with a unitary operator corresponding to a symplectic rotation via the metaplectic representation of the symplectic group.
de Gosson, Maurice A.
doaj +1 more source
Higher-order gradient elasticity models applied to geometrically nonlinear discrete systems [PDF]
Theoretical and Applied Mechanics, 2015 The buckling and post-buckling behavior of a nonlinear discrete repetitive system, the discrete elastica, is studied herein. The nonlinearity essentially comes from the geometrical effect, whereas the constitutive law of each component is ...
Challamel Noël +2 more
doaj +1 more source