Results 11 to 20 of about 7,606 (111)

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Nonlinear elliptic equations with high order singularities [PDF]

, 2016
We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core  

Severity of effect considerations regarding the use of mutation as a toxicological endpoint for risk assessment: A report from the 8th International Workshop on Genotoxicity Testing (IWGT)

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Exposure levels without appreciable human health risk may be determined by dividing a point of departure on a dose–response curve (e.g., benchmark dose) by a composite adjustment factor (AF). An “effect severity” AF (ESAF) is employed in some regulatory contexts.
Barbara L. Parsons, Marc A. Beal, Kerry L. Dearfield, George R. Douglas, Min Gi, B. Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Michelle Kenyon, Alexandra S. Long, David P. Lovell, Anthony M. Lynch, Meagan B. Myers, Stefan Pfuhler, Alisa Vespa, Andreas Zeller, George E. Johnson, Paul A. White   +17 more
wiley   +1 more source

Cardiac disease in systemic sclerosis: Integrating pathobiology with clinical management

Rheumatology &Autoimmunity, EarlyView.
Abstract Systemic sclerosis (SSc) is a complex autoimmune disorder in which cardiovascular involvement remains a major determinant of morbidity and mortality. Cardiac injury in SSc results from the interplay of microvascular dysfunction, immune‐mediated inflammation, and progressive interstitial and replacement fibrosis, leading to myocardial disease ...
Henry Sutanto, Betty Rachma, Yuliasih
wiley   +1 more source

Physics‐Driven Deep Neural Networks for Solving the Optimal Transport Problem Associated With the Monge–Ampère Equation

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
wiley   +1 more source

Dielectric Breakdown Characteristics of Biaxially Oriented Polypropylene Films: Surface Structures on Thickness Dependence

High Voltage, EarlyView.
ABSTRACT Film capacitors, essential for energy storage in power systems, benefit from reduced film thickness to increase capacitance and lower costs. While the inverse power law traditionally links higher electric strength with thinner films, its validity diminishes below a critical thickness.
Chuansheng Zhang, Chengyan Ren, Yu Feng, Yi Luo, Cheng Zhang, Tao Shao   +5 more
wiley   +1 more source

Besov regularity for operator equations on patchwise smooth manifolds [PDF]

, 2014
We study regularity properties of solutions to operator equations on patchwise smooth manifolds $\partial\Omega$ such as, e.g., boundaries of polyhedral domains $\Omega \subset \mathbb{R}^3$. Using suitable biorthogonal wavelet bases $\Psi$, we introduce
Dahlke, Stephan, Weimar, Markus
core  

Update on Non‐Biological and RNA‐Based Therapeutics in Chronic Inflammatory Diseases: Precision Medicine Through Small Molecules: An EAACI Position Paper

Allergy, EarlyView.
ABSTRACT In the last decades, critical advancements in research technology and knowledge on disease mechanisms steered therapeutic approaches for chronic inflammatory diseases towards unprecedented target specificity. For allergic and chronic lung diseases, biologic drugs pioneered this goal, acquiring on the way—through the clinical use of monoclonal ...
F. Roth‐Walter, I. M. Adcock, C. Benito‐Villalvilla, R. Bianchini, L. Bjermer, G. Caramori, L. Cari, K. F. Chung, Z. Diamant, I. Eguiluz‐Gracia, E. F. Knol, M. Jesenak, F. Levi‐Schaffer, G. Nocentini, L. O'Mahony, O. Palomares, F. Redegeld, M. Sokolowska, B. Van Esch, M. Zurlo, C. Stellato   +20 more
wiley   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model

, 2017
In order to prove numerically the global existence and uniqueness of smooth solutions of a fourth order, nonlinear PDE, we derive rigorous a-posteriori upper bounds on the supremum of the numerical range of the linearized operator. These bounds also have
Blömker, Dirk, Nolde, Christian
core   +1 more source