Results 101 to 110 of about 14,589,045 (236)
Well-posedness and convexity in vector optimization
We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence.
MOLHO, ELENA +2 more
core +1 more source
ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley +1 more source
ABSTRACT Inference in Bayesian inverse problems frequently relies on sampling‐based methods for exploring the posterior distribution. In this paper, we compare two such methods for Bayesian bathymetry reconstruction from water‐surface elevation measurements: Metropolis–Hastings Markov chain Monte Carlo (MH‐MCMC) and transitional Markov chain Monte ...
Lars Stietz +3 more
wiley +1 more source
On the well-posedness of large-scale interconnected systems
In this paper, we give a precise definition of well-posedness for a large-scale interconnected system, and derive several criteria for well-posedness.
Vidyasagar, M.
core +1 more source
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
Potential games and well posedness properties
The aim of this paper is to study Potential Games which are a special class of games; in fact their properties are dictated by a single function called the potential function.
PUSILLO, ANGELA LUCIA, MARGIOCCO M
core +1 more source
Well-posedness of minimal dRGT massive gravity
Ghost-free dRGT massive gravity is a subtle theory, even at the classical level. Its viability depends on Vainshtein screening, which is an intrinsically non-linear phenomenon, and thus understanding the full non-linear dynamics of the theory is crucial.
Jan Kożuszek, Toby Wiseman
doaj +1 more source
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
Walker C.
europepmc +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
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

