Results 101 to 110 of about 43,973 (335)

Parametrix for a degenerate parabolic equation [PDF]

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1979
Iwasaki, Chisato, Iwasaki, Nobuhisa
openaire   +2 more sources

Folding of set-theoretical solutions of the Yang-Baxter equation

open access: yes, 2010
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure group, equipped with its canonical Garside structure ...
Chouraqui, Fabienne, Godelle, Eddy
core   +1 more source

Applications of QSPR and Machine Learning in Molecular Photonics

open access: yesAdvanced Optical Materials, EarlyView.
Quantitative structureproperty relationships (QSPR) and machine learning (ML) are transforming photochemistry by enabling pre‐synthetic screening of photoactive molecules. This review outlines advances in data‐driven discovery of optical materials and functional dyes, identifies effective descriptors and models for photophysical processes, and provides
Andrey A. Buglak   +2 more
wiley   +1 more source

Viscosity solutions to degenerate diffusion problems

open access: yesElectronic Journal of Differential Equations, 2007
This paper concerns the weak solutions to a Cauchy problem in $R^N$ for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.
Zu-Chi Chen, Yan-Yan Zhao
doaj  

Nonlinear Transmission of Strong THz‐Electric Fields Through Thin Gold Films

open access: yesAdvanced Optical Materials, EarlyView.
Gold is is the prime metal for imaging THz radiation. This study demonstrates that the interaction of strong THz pulses with gold becomes nonlinear at certain peak THz‐electric field strengths. The strong fields change the electron density of states which contributing to the absorption of the propagating THz pulse.
Rokas Jutas   +6 more
wiley   +1 more source

On the Cauchy Problem for a Degenerate Parabolic Equation

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2001
Existence and uniqueness of global positive solutions to the degenerate parabolic problem u_t = f(u)\Delta u \ \ \mathrm {in} \ \ \mathbb R^n \times (0, \infty) u|_{t=0} = u–0 with
openaire   +4 more sources

Chiral Metasurfaces with Multidimensional Tunability for Optical Chiral States

open access: yesAdvanced Optical Materials, EarlyView.
A novel bilayer perovskite chiral metasurface enables tunable transitions between BIC‐associated vortex centres and circularly polarized states via rotational symmetry control. Breaking rotational symmetry and applying in situ rotation to the upper layer allows precise, omnidirectional tuning of C points in momentum space. This evolution forms a Möbius‐
Dayang Lin, Abbas Ghaffari, Qing Gu
wiley   +1 more source

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

open access: yesElectronic Journal of Differential Equations, 2009
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj  

ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
doaj   +1 more source

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