Results 101 to 110 of about 14,589,045 (236)

Well-posedness and convexity in vector optimization

open access: yes, 2003
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

On Switching Times Optimization and Second‐Order Sufficient Conditions for Optimal Bang‐Bang Boundary Control of the Heat Equation

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
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

Comparing Transitional Markov Chain Monte Carlo and Metropolis–Hastings Sampling for Bayesian Bathymetry Reconstruction

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
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

open access: yes, 1980
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

Global well‐posedness and large‐time behavior for non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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

open access: yes, 2008
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

open access: yesJournal of High Energy Physics
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

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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)$a(x,u)$

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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

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