Results 31 to 40 of about 15,297,882 (275)
On second order elliptic and parabolic equations of mixed type
Journal of Functional Analysis, 2017 It is known that solutions to second order uniformly elliptic and parabolic equations, either in divergence or nondivergence (general) form, are Hölder continuous and satisfy the interior Harnack inequality. We show that even in the one-dimensional case ($x\in R^1$), these properties are not preserved for equations of mixed divergence-nondivergence ...
Chen, Gong, Safonov, Mikhail
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On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
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AN INVERSE PROBLEM OF RECOVERING THE RIGHT HAND SIDE OF 1D PSEUDOPARABOLIC EQUATION
Вестник КазНУ. Серия математика, механика, информатика, 2021 Inverse problems of finding the right-hand side of a partial differential equations arise when an external source is unknown or impossible to measurement, for example, the source is in a high-temperature environment or underground.
Kh. Kenzhebai
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Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
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On the stability of the linear delay differential and difference equations
Abstract and Applied Analysis, 2001 We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem.
A. Ashyralyev, P. E. Sobolevskii
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Nonlinear second order evolution equations with state-dependent delays
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.
László Simon
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Reduction operators of linear second-order parabolic equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 31 pages, minor misprints are ...
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Advanced Functional Materials, EarlyView.The analysis of optical eigenmodes in chiral liquid crystal with perpendicular or tilted helical axis, and their correspondence with the external medium, leads to an intuitive understanding of the angle and wavelength dependency of transmissive and reflective diffraction.
Ke Xu +5 more
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Advanced Functional Materials, EarlyView.Liquid–liquid interface assembly enables the fabrication of solution‐processed MoS2 and WSe2 centimeter‐scale, nanometer‐thick type‐II heterostructures on paper. Interfacial charge separation and hopping‐limited recombination produce rectification and persistent photocharge retention at zero bias.
Aniello Pelella +11 more
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Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials
Advanced Materials, EarlyView.Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
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