Results 101 to 110 of about 22,103,434 (252)
Two solutions for fractional p-Laplacian inclusions under nonresonance
We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity.
Antonio Iannizzotto+2 more
doaj
Analysis of networks where discontinuities and nonsmooth dynamics collide: understanding synchrony
Integrate-and-fire networks have proven remarkably useful in modelling the dynamics of real world phenomena ranging from earthquakes, to synchrony in neural networks, to cascading activity in social networks.
Y. Lai, R. Thul, S. Coombes
semanticscholar +1 more source
An injector testbed for continuous‐wave free‐electron lasers based on a direct current gun and an interchangeable very high frequency gun is under construction. Its physical design and performance have been studied carefully.The continuous‐wave free‐electron laser (CW‐FEL), based on superconducting radiofrequency (SRF) technology with an electron bunch
Xinmeng Li+32 more
wiley +1 more source
Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters
Abstract Let Ω⊂Rn$\Omega \subset \mathbb {R}^n$ with n⩾2$n\geqslant 2$ be a bounded Lipschitz domain with outer unit normal ν$\nu$. For α∈R$\alpha \in \mathbb {R}$, let RΩα$R_\Omega ^\alpha$ be the Laplacian in Ω$\Omega$ with the Robin boundary condition ∂νu+αu=0$\partial _\nu u+\alpha u=0$, and denote by E(RΩα)$E(R^\alpha _\Omega)$ its principal ...
Charlotte Dietze, Konstantin Pankrashkin
wiley +1 more source
Nonsmooth Analysis and Optimization
These lecture notes for a graduate course cover generalized derivative concepts useful in deriving necessary optimality conditions and numerical algorithms for nondifferentiable optimization problems in inverse problems, imaging, and PDE-constrained optimization. Treated are convex functions and subdifferentials, Fenchel duality, monotone operators and
openaire +2 more sources
Abstract Integrated dynamic scheduling (IDS) and economic nonlinear model predictive control (eNMPC) enable economic operation of chemical plants subject to volatile energy prices. Herein, we combine the two concepts into an integrated two‐layer scheme. Therein, IDS performs “long‐horizon” scheduling on a day‐ahead (DA) market and eNMPC “short‐horizon”
Jan C. Schulze+3 more
wiley +1 more source
On a higher dimensional worm domain and its geometric properties
Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz+2 more
wiley +1 more source
We consider a nonlinear elliptic equation driven by the -Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Filippakis MichaelE+3 more
doaj
Nonsmooth modal analysis: from the discrete to the continuous settings
This chapter addresses the prediction of vibratory resonances in nonsmooth structural systems via Nonsmooth Modal Analysis. Nonsmoothness in the trajectories is induced by unilateral contact conditions in the governing (in)equations.
Anders Thorin, M. Legrand
semanticscholar +1 more source
On the isoperimetric Riemannian Penrose inequality
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti+2 more
wiley +1 more source