Results 51 to 60 of about 1,931 (172)
Eigenvalue asymptotics for polynomially compact pseudodifferential operators
, 2021 The asymptotics is found for eigenvalues of polynomially compact pseudodifferential operators of the zeroth ...
Rozenblioum, Grigori +1 more
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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.
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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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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
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Two-term Szegő theorem for generalised anti-Wick operators
, 2015 This thesis concerns operators whose Weyl pseudodifferential operator symbol is the convolution of a function that is smooth and of fixed scale with a function that is discontinuous and dilated by a large asymptotic parameter.
Oldfield, JP
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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 +2 more
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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
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Hypoellipticity in the complexes of pseudodifferential operators [PDF]
Proceedings of the American Mathematical Society, 1978 Sufficient conditions for the pseudodifferential operator defined on a complex to be hypoelliptic are investigated.
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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 +5 more
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Sparse bounds for pseudodifferential operators [PDF]
, 2018 We prove sparse bounds for pseudodifferential operators associated to H\"ormander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis.
Cladek, L. +3 more
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