Results 51 to 60 of about 9,965 (190)

C*-Structure and K-Theory of Boutet de Monvel's Algebra

, 2001
We consider the norm closure $A$ of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold $X$ with boundary $Y$.
B., Boutet de Monvel L., Brown L. G., Coburn L. A., Coburn L. A., Cordes H. O., Fedosov B. V., Gramsch B., Grubb G., Grubb G., I., Kohn J. J., Lauter R., Lauter R., Melrose R., Nest R., Nest R., R., R., Rempel S., Schrohe E., Schrohe E., Schulze B.-W., Seeley R. T.   +23 more
core   +5 more sources

Pseudodifferential Operators on Periodic Graphs [PDF]

Integral Equations and Operator Theory, 2011
22 ...
Rabinovich, Vladimir S., Roch, Steffen
openaire   +3 more sources

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension

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, Ronan Herry, Eva Kopfer, Karl‐Theodor Sturm   +3 more
wiley   +1 more source

On the Fourier analysis of operators on the torus

, 2006
Basic properties of Fourier integral operators on the torus are studied by using the global representations by Fourier series instead of local representations.
Ruzhansky, Michael, Turunen, Ville
core   +2 more sources

The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states

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

Nonlinear pseudodifferential equations on a half-line with large initial data

Electronic Journal of Differential Equations, 2006
We study the initial-boundary value problem for nonlinear pseudodifferential equations, on a half-line, $$displaylines{ u_{t}+mathcal{lambda}| u| ^{sigma}u+mathcal{L} u=0,quad(x,t)in{mathbb{R}^{+}}imes{mathbb{R}^{+}},cr u(x,0)=u_{0}(x),quad xin{
Rosa E. Cardiel, Elena I. Kaikina
doaj  

The Cauchy Problem for One Class of Parabolic Pseudodifferential Equation with Deviation of the Argument

Journal of Optimization, Differential Equations and Their Applications
In this paper, we study solvability of the Cauchy problem for a parabolic pseudodifferential equation with the deviation of the argument. Parabolic pseudodifferential operator with non-smooth symbols introduced by Eidel’man and Drin’ for the first time ...
Yaroslav M. Drin, Iryna I. Drin, Svitlana S. Drin, Maksym P. Kotsur   +3 more
doaj   +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

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
core   +1 more source

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
wiley   +1 more source