Results 151 to 160 of about 4,761,041 (315)
A priori estimates in geometry and Sobolev spaces on open manifolds [PDF]
Jürgen Eichhorn
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Preconditioned Deformation Grids
Abstract Dynamic surface reconstruction of objects from point cloud sequences is a challenging field in computer graphics. Existing approaches either require multiple regularization terms or extensive training data which, however, lead to compromises in reconstruction accuracy as well as over‐smoothing or poor generalization to unseen objects and ...
Julian Kaltheuner +4 more
wiley +1 more source
Continuity of the superposition operator on Orlicz-Sobolev spaces [PDF]
George Hurlstone Hurdlestone Hardy +1 more
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Exact Dirichlet boundary multi‐resolution hash encoding solver for structures
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
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Orlicz-Sobolev spaces and imbedding theorems
Thomas Donaldson, Neil S. Trudinger
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On the solvability of nonlinear elliptic equations in Sobolev spaces [PDF]
Piotr Fijałkowski
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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
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Resolvent estimates for elliptic systems in function spaces of higher regularity
We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
doaj
Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian
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

