Results 31 to 40 of about 1,287,838 (292)
The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
, 1976 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
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Regularity theorems for a class of degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the regularity of a class of degenerate elliptic equations with special lower order terms. By introducing a proper distance and applying the compactness method, we establish the Hölder type estimates for the weak solutions.
Qiaozhen Song, Yan Wang
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Comparison of critical behaviors of elliptic and hyperbolic quadratic algebraic equations with variable coefficients [PDF]
INCAS Bulletin, 2015 A comparison of the behaviours of the elliptic with those of hyperbolic quadratic algebraic equations (QAEs) with free and linear variable coefficients, in vicinity of their critical surfaces is made.
Adriana NASTASE
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The Riemann-Hilbert problem for degenerate elliptic complex equations and its application
, 2014 This article deals with some elliptic complex equations of first order, i.e. the generalized Beltrami equation with two degenerate lines in multiply connected domains.
Wen, Guochun
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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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Molecular Oncology, EarlyView.Taxanes are widely used chemotherapeutics whose effects on cellular mechanics remain poorly understood. We show that paclitaxel induces rapid cellular contraction by promoting GEF‐H1 dissociation from microtubules and non‐muscle myosin II activation through RhoA/ROCK.
Gloria Asensio‐Juárez +5 more
wiley +1 more source
On Removable Sets for Degenerated Elliptic Equations
Ukrainian Mathematical Journal, 2013 Under consideration is the Dirichlet problem for an elliptic equation \[ -\sum_{i,j=1}^{n}\partial_{x_{j}} a_{ij}(x)\partial_{x_{i}} u =f, \;\;x\in G\subset {\mathbb R}^{n}. \eqno{(1)} \] The corresponding quadratic form is degenerate in the sense that there exists a positive constant \(\gamma>0\) such that \[ \gamma\sum_{i=1}|\xi_{i}|^{2}\lambda_{i}(x)
Gadjiev, T.S., Bayramova, N.Q.
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
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Gradient regularity for strongly singular or degenerate elliptic and parabolic equations
Bruno Pini Mathematical Analysis SeminarWe present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure.
Pasquale Ambrosio
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