Results 151 to 160 of about 9,689,661 (201)

On the well-posedness of the Eckhaus equation

Physics Letters A, 1997
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M. J. ABLOWITZ, G. BIONDINI, DE LILLO, Silvana   +2 more
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Well-Posedness and Scalarization in Vector Optimization

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

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
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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.
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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
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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

(∊,k) EQUILIBRIA AND WELL-POSEDNESS

International Game Theory Review, 2006
The aim of this paper is to discuss a new concept of well-posedness for non cooperative games. Starting from the definition of (∊,k) equilibrium as the point where every player either guarantees at least k or he (she) does not lose more than ∊, we introduce an original definition of well-posedness. We study characterizations of this well-posedness and
MARCO MARGIOCCO, LUCIA PUSILLO
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On the well-posedness of LTI networks

2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017
We consider networks of linear, time-invariant systems defined over matrices of rational functions in a complex variable where each element of the matrix represents a link in the network. When these rational functions are proper, but not necessarily strictly proper, we demonstrate the necessary and sufficient conditions under which such a network ...
Nathan Woodbury, Arne G. Dankers, Sean Warnick   +2 more
openaire   +1 more source

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
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On Well-Posedness of Relay Systems

IFAC Proceedings Volumes, 2001
Abstract In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two different solution concepts. We derive necessary and sufficient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay feedback.
Pogromsky, A.Y., Heemels, W.P.M.H., Nijmeijer, H.   +2 more
openaire   +2 more sources