Search results for "Different"
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Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations
2022
Abstract We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and supremum, of linear operators. The families of equations that we consider include well-known operators such as Pucci, Issacs, and k-Hessian operators.
Regularity properties of tug-of-war games and normalized equations
2017
Lämpöyhtälön ja Laplacen yhtälön ratkaisun ominaisuuksia
2015
Tämän tutkielman tarkoituksena on tutustua kahteen tärkeään osittaisdifferentiaaliyhtälöön; Laplacen yhtälöön ja lämpöyhtälöön. Näitä molempia hyödynnetään fysiikan lisäksi useiden muidenkin tieteenalojen sovelluksissa. Lämpöyhtälö, joka tunnetaan myös diffuusioyhtälönä, kuvaa jonkin suureen esimerkiksi lämmön johtumista aineissa ajan kuluessa. Pitkän ajan kuluttua tilanne tasapainottuu, jolloin lämmön määrä pysyy ajan suhteen vakiona tarkasteltavan alueen joka pisteessä. Tällaista täysin stabiloitunutta tilannetta voidaan mallintaa Laplacen yhtälöllä. Laplacen yhtälön toteuttavia funktioita kutsutaan harmonisiksi funktioiksi. Tutkielmassa johdetaan perusratkaisu ja keskiarvoperiaate molemm…
Adipogenic and osteogenic differentiation of mesenchymal stem cells.
2009
Variational parabolic capacity
2015
We establish a variational parabolic capacity in a context of degenerate parabolic equations of $p$-Laplace type, and show that this capacity is equivalent to the nonlinear parabolic capacity. As an application, we estimate the capacities of several explicit sets.
Epigenetic siRNA and Chemical Screens Identify SETD8 Inhibition as a Therapeutic Strategy for p53 Activation in High-Risk Neuroblastoma
2017
Given the paucity of druggable mutations in high-risk neuroblastoma (NB), we undertook chromatin-focused small interfering RNA and chemical screens to uncover epigenetic regulators critical for the differentiation block in high-risk NB. High-content Opera imaging identified 53 genes whose loss of expression led to a decrease in NB cell proliferation and 16 also induced differentiation. From these, the secondary chemical screen identified SETD8, the H4K20me1 methyltransferase, as a druggable NB target. Functional studies revealed that SETD8 ablation rescued the pro-apoptotic and cell-cycle arrest functions of p53 by decreasing p53K382me1, leading to activation of the p53 canonical pathway. I…
p73 deficiency results in impaired self renewal and premature neuronal differentiation of mouse neural progenitors independently of p53
2010
10 p.-5 fig.
"Table 6" of "$\rm{K}^{*}(\rm{892})^{0}$ and $\phi(1020)$ production at midrapidity in pp collisions at $\sqrt{s}$ = 8 TeV"
2020
No table description available.
"Table 8" of "$\rm{K}^{*}(\rm{892})^{0}$ and $\phi(1020)$ production at midrapidity in pp collisions at $\sqrt{s}$ = 8 TeV"
2020
No table description available.
"Table 5" of "$\rm{K}^{*}(\rm{892})^{0}$ and $\phi(1020)$ production at midrapidity in pp collisions at $\sqrt{s}$ = 8 TeV"
2020
No table description available.