Results 41 to 50 of about 418 (179)
Paraproducts for bilinear multipliers associated with convex sets
Mathematische Annalen, 2022 AbstractWe prove bounds in the local $$ L^2 $$ L 2 range for exotic paraproducts motivated by bilinear multipliers associated with convex sets. One result assumes an exponential boundary curve. Another one assumes a higher order lacunarity condition.
Olli Saari, Christoph Thiele
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Canadian Journal of Statistics, EarlyView.Abstract Annual tree growth is a complex biological process. Modelling radial growth in the trunk by linear‐circular regression with one mode and correlated errors has allowed the definition and assessment of a preferred direction for 1 and 2 years. Here, modified F$$ F $$‐tests are presented for 3 years, 1 mode/year; 1 year, 2 modes for possible main ...
Pierre Dutilleul +2 more
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A counterexample to an endpoint bilinear Strichartz inequality
Electronic Journal of Differential Equations, 2006 The endpoint Strichartz estimate $$ | e^{itDelta} f |_{L^2_t L^infty_x(mathbb{R} imes mathbb{R}^2)} lesssim |f|_{L^2_x(mathbb{R}^2)} $$ is known to be false by the work of Montgomery-Smith [2], despite being only "logarithmically far" from being true in ...
Terence Tao
doaj
Boundedness criterion for bilinear Fourier multiplier operators [PDF]
Tohoku Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miyachi, Akihiko, Tomita, Naohito
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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On the bilinear cone multiplier
For $f,g \in \mathscr{S}(\R^n), n\geq 3$, consider the bilinear cone multiplier operator defined by \[{T}^λ_{R}(f,g)(x):=\int_{\mathbb{R}^{2n}}m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη_n}\right)\hat{f}(ξ)\hat{g}(η)e^{2πιx\cdot(ξ+η)}~dξdη,\] where $λ>0, R>0$ and \[m^λ\left(\frac{ξ'}{Rξ_n},\frac{η'}{Rη_n}\right)=\Big(1-\frac{|ξ'|^2}{R^2ξ^2_n}-\frac ...
Shrivastava, Saurabh, Shuin, Kalachand
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Orthogonality of the bilinear Fourier multiplier in the modulation spaces [PDF]
SCIENTIA SINICA Mathematica, 2018 In this paper, we consider the boundedness of the bilinear Fourier multipliers on modulation spaces.We prove that if a family of bilinear Fourier multipliers is bounded and has some orthogonality, the sum of these bilinear Fourier multipliers is also bounded on modulation spaces.As a corollary, we give the necessary and sufficient conditions for the ...
Guo Weichao, Zhao Guoping, Zhao Weiren
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Energy Science &Engineering, EarlyView.A novel framework integrating environmental constraints, topography, infrastructure accessibility, and solar irradiation was developed to identify optimal utility‐scale solar photovoltaics (PV) sites in Lithuania. Western and central Lithuania showed the highest suitability for future solar PV expansion.
Mahyar Kamali Saraji +3 more
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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On curvature and the bilinear multiplier problem
Revista Matemática Iberoamericana, 2012 We provide sufficient normal curvature conditions on the boundary of a domain D \subset \mathbb{R}^4 to guarantee unboundedness of the bilinear Fourier multiplier operator \mathrm{T}_D
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