Results 111 to 120 of about 4,008,571 (171)
Experiences developing structural biology tools with AI coding assistance
Acta Crystallographica Section D, Volume 82, Issue 11, Page 1251-1259, November 2026.Artificial intelligence (AI)‐assisted development can significantly reduce the effort of coding scientific tools and software. At the same time, the approach requires detailed oversight, as well as domain knowledge and codebase expertise. The conditions under which AI assistance is reliable, the kinds of mistakes coding LLMs can make and why expert ...
Oleg V. Sobolev +2 more
wiley +1 more source
GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES [PDF]
, 2017 We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order2 and higher is globally well-posed for smooth initial data as well as for ...
BRUVERIS, MARTINS +2 more
core
Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
wiley +1 more source
Density of compactly supported smooth functions CC∞(Rd) in Musielak-Orlicz-Sobolev spaces W1,Φ(Ω)
Density of smooth functions in Musielak-Orlicz-Sobolev space; Musielak-Orlicz spaces; Musielak-Orlicz-Sobolev spaces; Variable exponent Sobolev-Lebesgue ...
Kamińska, Anna, Żyluk, Mariusz
core +1 more source
Sobolev metrics on shape space of surfaces
, 2010 . Let M and N be connected manifolds without boundary with dim(M) < dim(N), and let M compact. Then shape space in this work is either the manifold of submanifolds of N that are diffeomorphic to M, or the orbifold of unparametrized immersions of M in ...
Philipp Harms +2 more
core +1 more source
Johnson–Schwartzman gap labeling for metric and discrete decorated graphs
Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.Abstract We study Schrödinger operators on metric and discrete decorated graphs. The values taken by the integrated density of states (IDS) on spectral gaps are called gap labels. A natural question is which gap labels can occur. We answer this for graphs arising from uniquely ergodic one‐dimensional dynamical systems by proving Johnson–Schwartzman gap‐
Ram Band, Gilad Sofer
wiley +1 more source
Melt Production and Volatile Release From Thermochemical Mantle Plumes
Geophysical Research Letters, Volume 53, Issue 20, 28 October 2026.Abstract Mantle plumes are thought to generate Large Igneous Provinces (LIPs), the largest outpourings of lava in the geologic record, which are associated with long‐lasting climatic warming events and mass extinctions. However, the controls on mantle degassing by plumes remain poorly constrained.
Qianyi Lu +2 more
wiley +1 more source
From the sharp Sobolev inequality to the logarithmic Sobolev inequality
openStudio della disuguaglianza di Sobolev sharp e legame con la disuguaglianza di Sobolev logaritmicaStudy of the sharp Sobolev inequality and of its link with the logarithmic Sobolev ...
SPADARO, SALVATORE SIMONE
core
Logarithmic Sobolev trace inequalities
, 2013 We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(\Omega,\gamma) for sufficiently regular domain.
Posteraro, M. R. +3 more
core +1 more source
A Sobolev space and a Darboux problem [PDF]
Pacific Journal of Mathematics, 1977 openaire +3 more sources