Results 91 to 100 of about 1,329,190 (299)
Marcinkiewicz estimates for degenerate parabolic equations with measure data
, 2014 We consider solutions to degenerate parabolic equations with measurable coefficients, having on the right-hand side a measure satisfying a suitable density condition; we prove integrability results for the gradient in the Marcinkiewicz scale.
Baroni, Paolo, +2 more
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Singular degenerate parabolic equations with applications to geometric evolutions [PDF]
, 1992 We prove a comparison theorem for viscosity solutions of degenerate parabolic equations which is singular at finite directions of derivatives. We apply our theorem to construct a global generalized evolution for interfaces equations with a certain class ...
Sato, Moto-hiko, Ohnuma, Masaki
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Advanced Science, EarlyView.By integrating knowledge‐augmented artificial intelligence with an oxygen‐supplemented 3D screening platform, a synergistic interaction between berberine and enzalutamide is identified. The framework integrates compound mechanisms of action with disease‐relevant signaling context to prioritize candidate combinations and generate testable pathway‐based ...
Chih‐Hui Lo +15 more
wiley +1 more source
A boundary value problem for the fourth-order degenerate equation of the mixed type
Қарағанды университетінің хабаршысы. Математика сериясыMany problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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
The Wolff gradient bound for degenerate parabolic equations
, 2014 The spatial gradient of solutions to non-homogeneous and degenerate parabolic equations of p-Laplacean type can be pointwise estimated by natural Wolff potentials of the right hand side ...
T. Kuusi, MINGIONE, Giuseppe
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Advanced Science, EarlyView.Rapid solidification with glass fluxing is first applied to the intrinsic GeTe alloy and achieves large undercooling within 2 h. This enables partial retention of the high‐temperature cubic phase at room temperature and forms a crystallographically oriented α+β dual‐phase structure and a hierarchical defect network.
Guanghui Liu +4 more
wiley +1 more source
Singularity and Decay Estimates for a Degenerate Parabolic Equation
Complexity, 2021 In this paper, a degenerate parabolic equation ut − div(|x|θ∇u) = |x|aup with p > 1 and θ < 2, a ∈ ℝ, is considered. Based on rescaling arguments combined with a doubling property, the space‐time singularity and decay estimates are established. Moreover, a universal and a priori bound of global nonnegative solutions for the corresponding initial ...
openaire +3 more sources
On the strong maximum principle for degenerate parabolic equations
, 2007 Variants of the strong maximum principle are established for subsolutions to degenerate parabolic equations for which the standard version of the strong maximum principle does not hold.
Gripenberg, G.
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Prepolymerization Enables On‐Demand Viscosity Tuning for Xolography of Soft Hydrogels
Advanced Science, EarlyView.A facile in situ prepolymerization strategy enables on‐demand viscosity tuning across three orders of magnitude without external thickeners, transforming low‐viscosity resins into printable formulations for Xolography. The approach suppresses sedimentation, lowers curing dose, enables high‐fidelity support‐free fabrication, and produces advanced ...
Xichuan Li +7 more
wiley +1 more source