A linear operator method on arbitrary Riemann surfaces [PDF]
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The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
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A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]
Julin V, Morini M, Oronzio F, Spadaro E.
europepmc +1 more source
Riemann's method of integration. Its extensions with an application
The classical method of integration of hypcrbolic differential equations, due to Riemann, is developed and extended. The cases in which the Cauchy data is discontinuous and the initial curve is cut by a characteristic in more than one point, are considered. An application of the extensions to onedimensional gas dynamics is made.
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Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
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A topological method of generating action potentials and electroencephalography oscillations in a surface network. [PDF]
Sen S.
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Abstract Dissolved organic matter (DOM) pool acts as both nutrient source and sink in the oligotrophic surface ocean. However, the drivers of seasonal variations in DOM stoichiometry and their relationship to nutrient cycling remain poorly understood.
Lusong Zhang +8 more
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A General Approach for the Synthesis of Arylxenonium(II) Tetrafluoroborates. [PDF]
Cortés Soláns P +4 more
europepmc +1 more source
Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]
Alawaideh YM, Al-Khamiseh BM, Adu IK.
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Moments of derivatives of quadratic Dirichlet <i>L</i>-functions with prime conductor. [PDF]
Best CG.
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