Results 51 to 60 of about 34,900 (279)
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
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Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]
, 2009 In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
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Mixed problems for degenerate hyperbolic equations
Kyoto Journal of Mathematics, 1983 The author defines boundary conditions satisfying uniform Lopatinski conditions for a degenerate hyperbolic mixed problem to be an \(H^{\infty}\)-well posed mixed problem. The method is based on energy inequalities for such mixed problems, which are analogous to those in the non-degenerate case, except for having some degenerate orders. Main difference
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FEBS Open Bio, EarlyView.Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source
ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Journal of Optimization, Differential Equations and Their Applications, 2019 Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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Principal Symbol of Euler-Lagrange Operators
, 2016 We shall introduce the principal symbol for Euler-Lagrange operators and use them to charac- terise well-posed initial value problems. We shall clarify how constraints can arise in Lagrangian covariant theories by extending the standard treatment in GR ...
Fatibene, Lorenzo, Garruto, Simon
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$L^1$ contraction for bounded (non-integrable) solutions of degenerate parabolic equations [PDF]
, 2014 We obtain new $L^1$ contraction results for bounded entropy solutions of Cauchy problems for degenerate parabolic equations. The equations we consider have possibly strongly degenerate local or non-local diffusion terms.
Endal, J., Jakobsen, E. R.
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An energy analysis of degenerate hyperbolic partial differential equations. [PDF]
Applications of Mathematics, 1984 From author's summary: An energy analysis is carried out for the usual semi-discrete Galerkin method for the semilinear equation in the region \(\Omega\) : \((tu_ t)_ t=\sum_{i,j=1}(a_{ij}(x)u_{x_ i})x_ i- a_ 0(x)u+f(u),\) subject to the initial and boundary conditions, \(u=0\) on \(\partial \Omega\) and \(u(x,0)=u_ 0\).
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Initial-boundary value problems for degenerate hyperbolic equations
Sibirskie Elektronnye Matematicheskie Izvestiya, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The Gold Coast criteria permit diagnosis of amyotrophic lateral sclerosis (ALS) even without upper motor neuron (UMN) signs. However, whether ALS patients with UMN signs (ALSwUMN) and those without (ALSwoUMN) share similar characteristics and prognoses remains unclear.
Hee‐Jae Jung +7 more
wiley +1 more source