We prove Hölder estimates for integro-differential equations related to some continuous time random walks. These equations are nonlocal both in space and time and recover classical parabolic equations in limit cases. For some values of the parameters, the equations exhibit at the same time finite speed of propagation and C regularization.

Cereal Chem. 79(3):383–386 The objective of this study was to compare the structure and properties of flours and starches from whole, broken, and yellowed rice kernels that were broken or discolored in the laboratory. Physicochemical properties including pasting, gelling, thermal properties, and X-ray diffraction patterns were determined. Structure was elucidated using high-performance sizeexcl...

Abstract We establish certain delicate L p {L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels. These allow us to use Yano’s extrapolation method prove the boundedness aforementioned under very weak assumptio...

For the efficient selection of high-quality rice varieties, near-infrared spectroscopy (NIRS) technique has been widely applied to detect constituents in single kernels. Compared with other constituents, amylose content (AC) and fat (FC) are key parameters that can affect quality rice. Based on two modified AC FC trace detection methods, NIRS methods kernels were developed. Using proposed group...

An empirical rate equation was developed to predict head rice yield reduction for rough rice exposed to moisture adsorptive conditions. Time of exposure, initial moisture content, and relative humidity were significant to the reductions in head rice yield caused by moisture adsorption. An equation used to predict the number of kernels which fissured upon exposure to various environments was mod...

Periodic traveling waves (wavetrains) have been extensively studied for reaction-diffusion equations. One important motivation for this work has been the identification of periodic traveling wave patterns in spatiotemporal data sets in ecology. However, for many ecological populations, diffusion is no more than a rough phenomenological representation of dispersal, and spatial convolution with a...