Results 61 to 70 of about 14,444,000 (235)
Well-posedness and scalarization in vector optimization
, 2005 In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-
Rocca Matteo +4 more
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An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
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Abstract and Applied Analysis, 2014 The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Phan Quoc Khanh +2 more
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Well-posedness of stochastic modified Kawahara equation
Advances in Difference Equations, 2020 In this paper we consider the Cauchy problem for the stochastic modified Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness for data in Hs(R) $H^{s}(\mathbb{R})$, s≥−1/4 $s\geq -1/4$. Moreover, we get the
P. Agarwal, Abd-Allah Hyder, M. Zakarya
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
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On the Reconstruction of Planar Vector Fields From Its Longitudinal and Transverse Ray Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider a planar vector tomography problem of reconstructing a complex‐valued vector field from the (complete and partial) information of its longitudinal and transverse ray transforms, as well as from one of those transforms and its first moment.
Kamran Sadiq
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Well-Posedness of MultiCriteria Network Equilibrium Problem
Abstract and Applied Analysis, 2014 New notions of ϵ-equilibrium flow and ξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ-equilibrium pattern flow and ξk0-ϵ-equilibrium flow is established. Then, the well-posedness
W. Y. Zhang
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Near Surface Geophysics, EarlyView.Abstract In studies of subsurface hydrology, monitoring and imaging techniques are used to estimate the moisture content, or to track moisture or injected tracer movement. One applied imaging technique is electrical resistance tomography (ERT), in which measurements collected using electrodes placed on the ground surface or in boreholes are used to ...
Mikko Räsänen +3 more
wiley +1 more source
On the Well-Posedness Concept in the Sense of Tykhonov
Journal of Optimization Theory and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sofonea, Mircea, Xiao, Yi-bin
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Well-posedness and scalarization in vector optimization [PDF]
In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships.
Rocca Matteo +2 more
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