Results 181 to 190 of about 9,689,744 (234)

Well-Posedness and L-Well-Posedness for Quasivariational Inequalities [PDF]

Journal of Optimization Theory and Applications, 2006
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M B Lignola
exaly   +4 more sources

Well Posedness [PDF]

, 2012
This chapter deals with electromagnetic fields in complex media in the time domain. First, the chapter discusses the Maxwell equations in complex media in the time domain and shows that they can be expressed as integrodifferential equations. It then provides a convenient functional setting that allows the Maxwell equation to be treated as an ...
G. F. Roach, I. G. Stratis, A. N. Yannacopoulos   +2 more
core   +5 more sources

Well-posedness, a short survey [PDF]

, 2007
In this paper we analyze the property of Tykhonov wellposedness in relation to other well-posedness properties which are ordinal and, as stated in the title, we give a survey on some important results on well-posedness in scalar optimization and in scalar inequalities.
FERRENTINO, Rosa
openaire   +6 more sources

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On the well-posedness of the Eckhaus equation

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. J. ABLOWITZ, G. BIONDINI, DE LILLO, Silvana   +2 more
openaire   +2 more sources

Well-Posedness and Scalarization in Vector Optimization [PDF]

Journal of Optimization Theory and Applications, 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-
Enrico Miglierina, Rocca M
exaly   +2 more sources

Weak formulation and well-posedness

2021
This chapter focuses on the weak formulation of the time-dependent Stokes equations. We consider two possible weak formulations. The first one enforces the divergence-free constraint on the velocity field without introducing the pressure. This formulation can be handled by using the same analysis tools as for parabolic problems.
Alexandre Ern, Jean-Luc Guermond
openaire   +1 more source

On the well-posedness of numerical DAE

2009 European Control Conference (ECC), 2009
Solving unstructured linear differential-algebraic equations in the presence of numeric uncertainty in the equation coefficients is an ill-posed problem — arbitrarily small changes in the coefficients of the leading matrix may change the solution completely. To obtain well-posedness, assumptions must be made, even for DAE of index 0.
Henrik Tidefelt, S. Torkel Glad
openaire   +1 more source

Well Posedness and Inf-Convolution

Journal of Optimization Theory and Applications, 2018
We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map argmin.
openaire   +3 more sources

Well-posedness and weak well-posedness in Banach spaces

1997
Let (X, ‖ · ‖) be a Banach space. Let Φ be the class of all continuous linear (affine) functionals. A function f is Φ-convex if and only if it is convex and lower semi-continuous.
Diethard Pallaschke, Stefan Rolewicz
openaire   +1 more source

Well Posedness for Pressureless Flow

Communications in Mathematical Physics, 2001
This paper considers the one-dimensional pressureless gases and studies the uniqueness of weak solutions when the initial data is a Radon measure. It is shown that besides the Oleinik entropy condition, it is important to require the energy to be weakly continuous initially; and without this energy condition, the weak solution satisfying the Oleinik ...
Huang, Feimin, Wang, Zhen
openaire   +2 more sources