Results 71 to 80 of about 4,328,107 (173)
DreamFold: A World Model to efficiently generate protein folding pathways in the latent space
Abstract While there is an abundance of static data for the structure of biological macromolecules, the data regarding their folding mechanisms and dynamics is scarce, posing a challenge to the training of AI models. The World Model approach, which has been very successful in robotics, can come in handy in this regard. From limited data, it can build a
Alan Ianeselli +3 more
wiley +1 more source
On multipliers in weighted Sobolev spaces. Part I
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Higher order nonlinear degenerate elliptic problems with weak monotonicity
We prove the existence of solutions for nonlinear degenerate elliptic boundary-value problems of higher order. Solutions are obtained using pseudo-monotonicity theory in a suitable weighted Sobolev space.
Youssef Akdim +2 more
doaj
Weighted Sobolev inequality in Musielak–Orlicz space [PDF]
Let α, β, p and q be all variable exponents. Our aim in this paper is to deal with weighted Sobolev inequality for Riesz potentials of order α with functions f in Musielak–Orlicz spaces Lp,q,β(Rn) of variable exponent.
Tetsu Shimomura +3 more
core +1 more source
On multipliers in weighted Sobolev spaces. Part II
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
doaj
BaSIC: A Bayesian Inversion Model for Basalt Source Investigation and Characterization
Abstract We present BaSIC: Basalt Source Investigation and Characterization, an open‐source Python based Bayesian inversion method to constrain the source mineralogy of basalts. Using bulk rock geochemistry, the model takes the averages and standard deviations of six elemental ratios (Mn/Fe, Zn/Fe, Mn/Zn, Sc/Zn, Co/Fe, and Ga/Sc) for a given basalt ...
E. H. Cunningham +2 more
wiley +1 more source
Jungfraujoch is a single‐node FPGA–GPU server that enables 38 GB s−1 real‐time crystallographic data acquisition using the PSI JUNGFRAU 9M detector at 2 kHz, with simultaneous on‐the‐fly processing, spot finding and indexing, and optional adaptive data reduction during continuous data streaming.Significant growth in the quantity of data presents a ...
J. Duan +13 more
wiley +1 more source
Jumping nonlinearities and weighted Sobolev spaces [PDF]
Working in a weighted Sobolev space, a new result involving jumping nonlinearities for a semilinear elliptic boundary value problem in a bounded domain in RN is established. The nonlinear part of the equation is assumed to grow at most linearly and to be
Rumbos, Adolfo J., Shapiro, Victor L.
core +1 more source
Some Remarks on Spaces of Morrey Type
We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. In particular, we construct decompositions for functions belonging to two different subspaces of Mp,λ(Ω), which allow us to prove a ...
Loredana Caso +2 more
doaj +1 more source

