Results 71 to 80 of about 1,062,474 (215)
Journal of Mathematics, Volume 2025, Issue 1, 2025.Recent research has introduced piecewise fractional differential equations—particularly within deterministic‐stochastic frameworks—to better model complex and real‐world phenomena. However, their application to modeling the progression and treatment of diabetes remains limited.
Muner M. Abou Hasan +5 more
wiley +1 more source
On some analytical index formulas related to operator-valued symbols
Electronic Journal of Differential Equations, 2002 For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators.
Grigori Rozenblum
doaj
Pseudodifferential Operators on Periodic Graphs [PDF]
Integral Equations and Operator Theory, 2011 22 ...
Rabinovich, Vladimir S., Roch, Steffen
openaire +3 more sources
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo +3 more
wiley +1 more source
Weighted and endpoint estimates for commutators of bilinear pseudo-differential operators
AIMS Mathematics, 2022 In this paper, by applying the accurate estimates of the Hörmander class, the authors consider the commutators of bilinear pseudo-differential operators and the operation of multiplication by a Lipschitz function.
Yanqi Yang, Shuangping Tao, Guanghui Lu
doaj +1 more source
Wigner transform and pseudodifferential operators on symmetric spaces of non-compact type
, 2011 We obtain a general expression for a Wigner transform (Wigner function) on symmetric spaces of non-compact type and study the Weyl calculus of pseudodifferential operators on ...
Ali S Twareque Bertola M Gazeau J-P Kerner R Antoine J-P Métens S Thibon J-Y +15 more
core +1 more source
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
wiley +1 more source
On the Spectral Asymptotics of Operators on Manifolds with Ends
Abstract and Applied Analysis, 2013 We deal with the asymptotic behaviour, for λ→+∞, of the counting function NP(λ) of certain positive self-adjoint operators P with double order (m,μ), m,μ > 0, m≠μ , defined on a manifold with ends M.
Sandro Coriasco, Lidia Maniccia
doaj +1 more source
Eigenfunctions decay for magnetic pseudodifferential operators
, 2010 We prove rapid decay (even exponential decay under some stronger assumptions) of the eigenfunctions associated to discrete eigenvalues, for a class of self-adjoint operators in $L^2(\mathbb{R}^d)$ defined by ``magnetic'' pseudodifferential operators ...
Agmon S. +7 more
core +1 more source
The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible.
Shiqi Ma, Suman Kumar Sahoo, Mikko Salo
wiley +1 more source