On some variational inequality-constrained control problems
Journal of Inequalities and Applications, 2022 In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of ...
Savin Treanţă +2 more
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On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
Mathematical Modelling and Analysis, 2000 We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution.
S. V. Rogosin
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How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance [PDF]
, 2003 Published ...
Tucsnak, Marius +5 more
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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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Well-posedness of boundary control systems [PDF]
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2003 The authors study the continuity of the input/output map for boundary control systems through the system transfer function transporting the continuity to uniform boundedness of the solution to a related elliptic boundary value problem. The approach is used to obtain well-posedness of several large classes of boundary control systems.
Cheng, Ada, Morris, Kirsten
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α-Well-Posedness for Mixed Quasi Variational-Like Inequality Problems
Abstract and Applied Analysis, 2011 The concepts of α-well-posedness, α-well-posedness in the generalized sense, L-α-well-posedness and L-α-well-posedness in the generalized sense for mixed quasi variational-like inequality problems are investigated.
Jian-Wen Peng, Jing Tang
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Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition
Boundary Value Problems, 2021 The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated ...
Abdelkader Djerad +2 more
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Generic well-posedness in minimization problems
Abstract and Applied Analysis, 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how
A. Ioffe, R. E. Lucchetti
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Well-posedness of Hibler's dynamical sea-ice model
, 2021 This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea-ice model of W.D. Hibler, Journal of Physical Oceanog- raphy, 1979. Our choice of regularization has been
Titi, Edriss +4 more
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2013 We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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