Results 61 to 70 of about 1,718,820 (284)

Qualitative analysis of very weak solutions to Dirac-harmonic equations

Journal of Inequalities and Applications, 2022
In this paper, we introduce a definition of very weak solutions to the homogenous Dirac-harmonic equations for differential forms. In this setting, applying the Gehring lemma and interpolation theorems, we establish a higher integrability of the Dirac ...
Guannan Shi, Ye Zhang
doaj   +1 more source

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations

, 2017
We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide ...
Alexandre, Alexandre, Bothe, Canizo, Caputo, Dal Maso, Desvillettes, Desvillettes, Desvillettes, Desvillettes, Desvillettes, DiPerna, DiPerna, DiPerna, Feinberg, Feireisl, Feireisl, Fiebach, Fischer, Gajewski, Gajewski, Glitzky, Goudon, Julian Fischer, Kräutle, Laamri, Liero, Liero, Mielke, Mielke, Mincheva, Murat, Pierre, Pierre, Pierre, Pierre, Schuster, Villani   +37 more
core   +1 more source

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

FEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

On a nonlinear degenerate evolution equation with strong damping

International Journal of Mathematics and Mathematical Sciences, 1992
In this paper we consider the nonlinear degenerate evolution equation with strong damping,(*)      {K(x,t)utt−Δu−Δut+F(u)=0   in   Q=Ω×]0,T[u(x,0)=u0,   (ku′)(x,0)=0   in   Ωu(x,t)=0           on   ∑=Γ×]0,T[where K is a function with K(x,t)≥0, K(x,0)=0 ...
Jorge Ferreira, Ducival Carvalho Pereira   +1 more
doaj   +1 more source

On Indirect Approach to the Solvability of Quasi-Linear Dirichlet Elliptic Boundary Value Problem with BMO-Anisotropic p-Laplacian

Journal of Optimization, Differential Equations and Their Applications, 2018
We study here Dirichlet boundary value problem for a quasi-linear elliptic equation with anisotropic p-Laplace operator in its principle part and L^1-control in coefficient of the low-order term.
Peter I. Kogut, Olha P. Kupenko
doaj   +1 more source

Weak-Strong Uniqueness for Measure-Valued Solutions [PDF]

Communications in Mathematical Physics, 2011
We prove the weak-strong uniqueness for measure-valued solutions of the incompressible Euler equations. These were introduced by R.DiPerna and A.Majda, and in particular global existence to any L2 initial data was proven. Whether measure-valued solutions agree with classical solutions if the latter exist has apparently remained open.
Brenier, Yann, De Lellis, Camillo, Székelyhidi Jr, László   +2 more
openaire   +4 more sources

A High‐Sensitivity Circulating Nucleic Acid Sequencing Assay for Assessing Treatment Response to Alectinib in a Pediatric Patient With ALK‐Rearranged Non–Small Cell Lung Cancer

Pediatric Blood &Cancer, EarlyView.
Alberto D. Guerra, Nicholas F. Evageliou, Vandana Batra, Kristen L. Dalton, Stephanie Ortel, Usman Ashraf, Tricia R. Bhatti, Lisa J. States, Lea F. Surrey, Theodore W. Laetsch   +9 more
wiley   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Weak solutions for quasilinear degenerate parabolic systems

Electronic Journal of Differential Equations, 2006
This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general.
Zheng'an Yao, Wenshu Zhou
doaj  

Generalized Solutions of the Third-Order Cauchy-Euler Equation in the Space of Right-Sided Distributions via Laplace Transform

Mathematics, 2019
Using the Laplace transform technique, we investigate the generalized solutions of the third-order Cauchy-Euler equation of the form t 3 y ′ ′ ′ ( t ) + a t 2 y ′ ′ ( t ) + b y ′ ( t ) + c y ...
Seksan Jhanthanam, Kamsing Nonlaopon, Somsak Orankitjaroen   +2 more
doaj   +1 more source