Results 41 to 50 of about 90 (82)
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
wiley +1 more source
Stability Analysis of the Explicit Difference Scheme for Richards Equation. [PDF]
Entropy (Basel), 2020 Liu F, Fukumoto Y, Zhao X.
europepmc +1 more source
DreamFold: A World Model to efficiently generate protein folding pathways in the latent space
Protein Science, Volume 35, Issue 11, November 2026.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
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
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
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
Sobolev's embedding on time scales. [PDF]
J Inequal Appl, 2018 Ahmad N +3 more
europepmc +1 more source
Cauchy problem of the generalized Zakharov type system in [Formula: see text]. [PDF]
J Inequal Appl, 2017 You S, Ning X.
europepmc +1 more source