Results 31 to 40 of about 1,593,722 (169)
Weighted Sobolev spaces on metric measure spaces [PDF]
, 2019 We investigate weighted Sobolev spaces on metric measure spaces (X,d,m). Denoting by p the weight function, we compare the space W1,p(X,d, pm) (which always coincides with the closure H1,p(X, d, pm) of Lipschitz functions) with the weighted Sobolev ...
Speight, Gareth +2 more
core +1 more source
Elastic scattering by unbounded rough surfaces: Solvability in weighted Sobolev spaces [PDF]
, 2013 This paper is concerned with the variational approach in weighted Sobolev spaces to time-harmonic elastic scattering by two-dimensional unbounded rough surfaces.
Elschner, Johannes, Hu, Guanghui
core +1 more source
Weighted Sobolev Spaces on Metric Measure Spaces [PDF]
, 2023 We investigate weighted Sobolev spaces on metric measure spaces $(X,d,m)$. Denoting by $\rho$ the weight function, we compare the space $W^{1,p}(X,d,\rho m)$ (which always concides with the closure $H^{1,p}(X,d,\rho m)$ of Lipschitz functions) with the ...
Speight, Gareth +2 more
core +1 more source
Robots and Minimal, Physics‐Informed Features: A Hybrid Framework for Enzyme Catalysis
Advanced Science, EarlyView.Robotic experimentation and physics‐informed machine learning combine to predict enzyme substrate scope. With a handful of interpretable features derived from docking and quantum mechanics calculations, our model rivals descriptor‐heavy AI approaches and extrapolates to unseen substrates and enzyme classes.
Natalia Onishchenko +8 more
wiley +1 more source
Adimensional weighted Sobolev inequalities in PI spaces
, 2022 We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner-Schioppa spaces ...
Tewodrose, David
core +1 more source
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
A Kantorovich Version of Bernstein‐Type Logarithmic Operators
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we introduce a Kantorovich version of the Bernstein‐type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that preserve exponential functions: here, the exponential weights are replaced by logarithmic ones and the corresponding operators preserve the logarithmic functions.
Laura Angeloni +2 more
wiley +1 more source
𝑊𝟐,𝟐 A Priori Bounds for a Class of Elliptic Operators
International Journal of Differential Equations, 2011 We obtain some 𝑊2,2 a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case.
Sara Monsurrò +2 more
doaj +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source