Concept
Generalizations of the derivative
Related publications (137)
IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS
Xavier Fernandez-Real Girona, Riccardo Tione
In this note, we prove that if a subharmonic function Delta u >= 0 has pure second derivatives partial derivative(ii)u that are signed measures, then their negative part (partial derivative(ii)u)- belongs to L-1 (in particular, it is not singular). We then ...
Providence2023Automated identification of local contamination in remote atmospheric composition time series
Jian Wang, Julia Schmale, Andrea Baccarini, Ivo Fabio Beck, Hélène Paule Angot, Lubna Dada
A common challenge of atmospheric measurements in remote environments is to identify pollution from nearby activities that interfere with the purpose of the observations. Pollution, particularly from combustion, typically reveals itself in enhanced particl ...
2022Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension
We study vector-valued solutions u(t, x) is an element of R-d to systems of nonlinear stochastic heat equations with multiplicative noise, partial derivative/partial derivative t u(t, x) = partial derivative(2)/partial derivative x(2) u(t, x) + sigma (u(t, ...
INST MATHEMATICAL STATISTICS-IMS2021A computational workflow for the expansion of heterologous biosynthetic pathways to natural product derivatives
Vassily Hatzimanikatis, Jasmin Maria Hafner
Plant natural products (PNPs) and their derivatives are important but underexplored sources of pharmaceutical molecules. To access this untapped potential, the reconstitution of heterologous PNP biosynthesis pathways in engineered microbes provides a valua ...
NATURE RESEARCH2021On design strategies for binary dielectric metasurfaces based on the Fourier modal method
Binary dielectric metasurfaces are arrays of sub-wavelength structures that act as a thin layer of artificial material. They are generally lossless and relatively simple to fabricate since only a single structuring step is required. By carefully designing ...
EPFL2020Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings
Pascal Fua, Mathieu Salzmann, Shaifali Parashar
We propose a new formulation to the non-rigid structure-from-motion problem that only requires the deforming surface to meaning that its differential structure is preserved. This is a much weaker assumption than the traditional ones of isometry or conforma ...
2020