Results 51 to 60 of about 1,716,851 (287)
On Pacard's regularity for the equation $-Delta u = u^p$
Electronic Journal of Differential Equations, 2012 It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.
David R. Adams
doaj
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 +2 more
doaj +1 more source
Global weak solution of 3-D focusing energy-critical nonlinear Schrödinger equation [PDF]
, 2023 Xing Cheng, Chang‐Yu Guo, Yunrui Zheng
openalex +1 more source
Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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 +1 more
doaj +1 more source
Mean field type control with congestion [PDF]
, 2015 We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions.
Achdou, Yves, Lauriere, Mathieu
core +2 more sources
Weak solutions of the Landau--Lifshitz--Bloch equation
, 2016 The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications.
Le, Kim Ngan
core +1 more source
FEBS Letters, EarlyView.Multidrug transporters BpeB and BpeF from the Gram‐negative pathogen Burkholderia pseudomallei have a hydrophilic patch in their substrate‐binding pocket. Drug susceptibility tests and growth curve analyses using an Escherichia coli recombinant expression system revealed that the hydrophilic patches of BpeB and BpeF are involved in the substrate ...
Ui Okada, Satoshi Murakami
wiley +1 more source
Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations [PDF]
, 2011 We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small energy but possibly large oscillations where the initial density is ...
Huang, Xiangdi, Li, Jing
core
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 +37 more
core +1 more source