Results 21 to 30 of about 1,062,474 (215)
Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations
Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2474-2576, October 2023., 2023 Abstract In this paper we study a finite‐depth layer of viscous incompressible fluid in dimension n≥2, modeled by the Navier‐Stokes equations. The fluid is assumed to be bounded below by a flat rigid surface and above by a free, moving interface. A uniform gravitational field acts perpendicularly to the flat surface, and we consider the cases with and ...
Giovanni Leoni, Ian Tice
wiley +1 more source
On efficient quantum block encoding of pseudo-differential operators [PDF]
Quantum, 2023 Block encoding lies at the core of many existing quantum algorithms. Meanwhile, efficient and explicit block encodings of dense operators are commonly acknowledged as a challenging problem.
Haoya Li, Hongkang Ni, Lexing Ying
doaj +1 more source
Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]
, 2007 We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz +1 more
core +3 more sources
Almost Diagonalization of $$\tau $$τ-Pseudodifferential Operators with Symbols in Wiener Amalgam and Modulation Spaces [PDF]
, 2018 In this paper we focus on the almost-diagonalization properties of $$\tau $$τ-pseudodifferential operators using techniques from time-frequency analysis.
E. Cordero, F. Nicola, S. I. Trapasso
semanticscholar +1 more source
On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order.
Jean-Pierre Magnot
doaj +1 more source
Sparse bounds for pseudodifferential operators [PDF]
Journal d'Analyse Mathematique, 2017 We prove sparse bounds for pseudodifferential operators associated to Hörmander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis.
David Beltran, Laura Cladek
semanticscholar +1 more source
On L2-Boundedness of h-Pseudodifferential Operators
Journal of Function Spaces, 2021 Let Tah be the h-pseudodifferential operators with symbol a. When a∈Sρ,1m and m=nρ−1/2, it is well known that Tah is not always bounded in L2ℝn. In this paper, under the condition ax,ξ∈L∞Sρnρ−1/2ω, we show that Tah is bounded on L2.
Jie Yang
doaj +1 more source
Bilinear Localization Operators on Modulation Spaces
Journal of Function Spaces, 2018 We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far.
Nenad Teofanov
doaj +1 more source
Pseudodifferential operators with complex arguments and Cauchy problem
Mathematical Modelling and Analysis, 1996 "Pseudodifferential operators with complex arguments and Cauchy problem." Mathematical Modelling and Analysis, 1(1), p.
J. Dubinskii
doaj +1 more source
Rational matrix pseudodifferential operators [PDF]
, 2012 The skewfield K(d) of rational pseudodifferential operators over a differential field K is the skewfield of fractions of the algebra of differential operators K[d].
A Barakat +7 more
core +2 more sources