Results 81 to 90 of about 1,062,474 (215)

Spectral properties of semi-classical Toeplitz operators

, 2017
The main results of this paper are an asymptotic expansion in powers of $\hbar$ for the spectral measure $\mu_\hbar$ of a semi-classical Toeplitz operator, $Q_\hbar$, and an equivariant version of this result when $Q_\hbar$ admits an $n$-torus as a ...
Guillemin, Victor, Uribe, Alejandro, Wang, Zuoqin   +2 more
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

Pseudodifferential Operators with Rough Symbols [PDF]

Journal of Fourier Analysis and Applications, 2009
In this work, we develop $L^p$ boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the $x$ variable. Moreover, the $B(L^p)$ operator norms are estimated explicitly in terms of scale invariant quantities involving the symbols.
openaire   +2 more sources

The Metivier inequality and ultradifferentiable hypoellipticity

Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley   +1 more source

Multiparameter Inversion: Cramer's Rule for Pseudodifferential Operators

International Journal of Geophysics, 2011
Linearized multiparameter inversion is a model-driven variant of amplitude-versus-offset analysis, which seeks to separately account for the influences of several model parameters on the seismic response.
Rami Nammour, William W. Symes
doaj   +1 more source

Non-radial functions, nonlocal operators and Markov processes over p-adic numbers

Universitas Scientiarum, 2019
The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them.
Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
doaj   +1 more source

Invariant distributions and the transport twistor space of closed surfaces

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We study transport equations on the unit tangent bundle of a closed oriented Riemannian surface and their links to the transport twistor space of the surface (a complex surface naturally tailored to the geodesic vector field). We show that fibrewise holomorphic distributions invariant under the geodesic flow — which play an important role in ...
Jan Bohr, Thibault Lefeuvre, Gabriel P. Paternain   +2 more
wiley   +1 more source

Korteweg–de Vries waves in peridynamical media

Studies in Applied Mathematics, Volume 152, Issue 1, Page 376-403, January 2024.
Abstract We consider a one‐dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Michael Herrmann, Katia Kleine
wiley   +1 more source

DYNAMIC PROJECTION OPERATOR METHOD IN THE THEORY OF HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

TASK Quarterly, 2017
We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients.
SERGEY LEBLE, IRINA VERESHCHAGINA
doaj   +1 more source

Prediction Method of Maximum Propagation Angle in Parabolic Equation Model over Irregular Terrain

International Journal of Antennas and Propagation, Volume 2024, Issue 1, 2024.
The parabolic equation (PE) model is effective for predicting signal propagation over irregular terrains. The shift map method of the PE model is highly accurate and widely used for terrain propagation predictions. The maximum propagation angle is a crucial parameter of the shift map model.
Rui Zhang, Hongguang Wang, Zhensen Wu, Leke Lin, Zhenwei Zhao, Ayan Chatterjee   +5 more
wiley   +1 more source