Results 61 to 70 of about 11,357 (198)
Parameter-dependent Pseudodifferential Operators of Toeplitz Type
, 2013 We present a calculus of pseudodifferential operators that contains both usual parameter-dependent operators -- where a real parameter \tau\ enters as an additional covariable -- as well as operators not depending on \tau.
Seiler, Jörg
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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
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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
Elliptic operators in odd subspaces
, 1999 An elliptic theory is constructed for operators acting in subspaces defined via odd pseudodifferential projections. Subspaces of this type arise as Calderon subspaces for first order elliptic differential operators on manifolds with boundary, or as ...
A Yu Savin +25 more
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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
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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
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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
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On the construction of the Stokes flow in a domain with cylindrical ends
Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 10000-10005, August 2024.Based on existence results for the Stokes operator and its solution properties in manifolds with cylindrical ends by Große et al. and Kohr et al., the Stokes flow in a three‐dimensional compact domain Ω+$$ {\Omega}^{+} $$ with circular openings Σj(j=1,2)$$ {\Sigma}_j\kern0.1em \left(j=1,2\right) $$ through which the fluid enters
Wolfgang L. Wendland
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