Results 141 to 150 of about 85,041 (264)
Exact Dirichlet boundary multi‐resolution hash encoding solver for structures
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 25, Page 4172-4192, 20 October 2025.Abstract Designed to address computationally expensive scientific problems, physics‐informed neural networks (PINNs) have primarily focused on solving issues involving relatively simple geometric shapes. Drawing inspiration from exact Dirichlet boundary PINN and neural representation field, this study first develops a multi‐resolution hash encoding ...
Xiaoge Tian, Jiaji Wang, Xinzheng Lu
wiley +1 more source
Multivariate box spline wavelets in higher-dimensional Sobolev spaces. [PDF]
J Inequal Appl, 2018 Kumar R, Chauhan M.
europepmc +1 more source
Orlicz-Sobolev spaces and imbedding theorems
, 1971 Thomas Donaldson, Neil S. Trudinger
openalex +1 more source
On the solvability of nonlinear elliptic equations in Sobolev spaces [PDF]
, 1992 Piotr Fijałkowski
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Studies in Applied Mathematics, Volume 155, Issue 4, October 2025.ABSTRACT In nonisothermal setting, microstructural interactions may determine finite‐speed heat propagation. We consider such an effect in the dynamics of a viscous incompressible complex fluid (i.e., one with “active” microstructure) through a porous medium.
Luca Bisconti, Paolo Maria Mariano
wiley +1 more source
Inequalities in the most simple Sobolev space and convolutions of 𝐿₂ functions with weights [PDF]
, 1993 Saburou Saitoh
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Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi +3 more
wiley +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
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