Approximate general solution of degenerate parabolic equations related to population genetics
Electronic Journal of Differential Equations, 1995 degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj
Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
ITM Web of Conferences, 2018 In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
doaj +1 more source
Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]
مجلة جامعة الانبار للعلوم الصرفةThe rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
doaj +1 more source
Regularity Results for a class of Semilinear Parabolic Degenerate Equations and Applications [PDF]
Quaderno-IAC (2001), 2001 We consider a possibly strongly degenerate parabolic semilinear problem which can be applied to a differential model for pricing financial derivatives. We prove the asked regularity for applying the Ito's formula which is used for building the differential model.
arxiv
Frequency‐Dependent Demethylation of Cancer DNAs by High‐Power Terahertz Radiation
Advanced Photonics Research, EarlyView.Effective demethylation of cancer DNA is successfully demonstrated by resonant irradiation with high‐power terahertz (THz) waves at the 10 mW level, combined with metamaterial‐based THz filters. The dependence of spectral filtering on demethylation indicates that the resonant frequency of 1.6 THz of cancer DNAs plays a crucial role in reducing the ...
Chaeyoon Kim +8 more
wiley +1 more source
Asymptotic behavior for parabolic equations with interior degeneracy
Examples and Counterexamples, 2022 The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo +3 more
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Well-posedness for a family of degenerate parabolic mixed equations [PDF]
arXiv, 2020 The aim of this work is to show an abstract framework to analyze a family of linear degenerate parabolic mixed equations. We combine the theory for the degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem.
arxiv
On the behavior of the solutions of degenerate parabolic equations [PDF]
Nagoya Mathematical Journal, 1999 AbstractIn this paper we consider degenerate parabolic equations, and obtain an interior and a boundary Harnack inequalities for nonnegative solutions to the degenerate parabolic equations. Furthermore we obtain boundedness and continuity of the solutions.
openaire +3 more sources
The Global Warming Potential of Geoengineering via Radiative Cooling
Advanced Sustainable Systems, EarlyView.The cooling power of engineered radiative cooling materials is determined and compared to conventional construction and roofing materials and Earth's natural surfaces. Results show if 1% of Earth's surface are to be covered with state‐of‐the‐art radiative cooling materials the terrestrial radiative forcing would decrease by 1.61 W·m−2 (from 0.6 to −1 ...
Atousa Pirvaram +2 more
wiley +1 more source
Controllability of 1-d coupled degenerate parabolic equations
Electronic Journal of Differential Equations, 2009 This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations.
Piermarco Cannarsa, Luz De Teresa
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