A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions [PDF]
arXiv, 2012 We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis of the corresponding pseudodifferential operators.
Cordero, Elena +2 more
arxiv +3 more sources
Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
doaj +1 more source
Uncertainty principles in term of supports in Hankel wavelet setting
Operators and Matrices, 2021 . Uncertainty principles in term of supports, namely Amrein-Berthier and Logvinenko- Sereda theorems are proved for the continuous Hankel wavelet transform. Mathematics 35S30, 42B10.
Siwar Hkimi, S. Omri
semanticscholar +1 more source
Estimates for evolutionary partial differential equations in classical function spaces
Forum of Mathematics, Sigma, 2023 We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro +3 more
doaj +1 more source
On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations [PDF]
, 2004 We show that deletion of the loss part of the collision term in all physically relevant versions of the Boltzmann equation, including the relativistic case, will in general lead to blowup in finite time of a solution and hence prevent global existence ...
Andreasson, Hakan +2 more
core +2 more sources
SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS
Forum of Mathematics, Sigma, 2018 We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj +1 more source
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]
, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
core +1 more source
Global Lp continuity of Fourier integral operators [PDF]
, 2009 In this paper we establish global Lp regularity properties of Fourier integral operators.
Coriasco, Sandro, Ruzhansky, Michael
core +3 more sources
Generalized Metaplectic Operators and the Schr\"odinger Equation with a Potential in the Sj\"ostrand Class [PDF]
, 2014 It is well known that the matrix of a metaplectic operator with respect to phase-space shifts is concentrated along the graph of a linear symplectic map.
Cordero, Elena +3 more
core +1 more source
Convergence in $L^p$ for Feynman path integrals [PDF]
, 2015 We consider a class of Schrodinger equations with time-dependent smooth magnetic and electric potentials having a growth at infinity at most linear and quadratic, respectively.
Nicola, Fabio
core +2 more sources