Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Carlos N. Rautenberg"'
Publikováno v:
Systems & Control Letters. 173:105461
Publikováno v:
SIAM Journal on Control and Optimization. 58:3508-3532
For a class of quasi-variational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal control problems are non-standard in the sense that they involve an objectiv
Publikováno v:
Calculus of Variations and Partial Differential Equations. 60
Publikováno v:
International Series of Numerical Mathematics ISBN: 9783030793920
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdca7c02b4015e7f00f68e589cda6741
https://doi.org/10.1007/978-3-030-79393-7_8
https://doi.org/10.1007/978-3-030-79393-7_8
Publikováno v:
Integral Equations and Operator Theory. 92
We consider a mollifying operator with variable step that, in contrast to the standard mollification, is able to preserve the boundary values of functions. We prove boundedness of the operator in all basic Lebesgue, Sobolev and BV spaces as well as c
The paper provides an extension, to fractional order Sobolev spaces, of the classical result of Murat and Brezis which states that the positive cone of elements in $H^{-1}(\Omega)$ compactly embeds in $W^{-1,q}(\Omega)$, for every $q < 2$ and for any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08cd253be18ad334d8c07a3ed2a4685d
https://hdl.handle.net/10945/69436
https://hdl.handle.net/10945/69436
Publikováno v:
Journal of Mathematical Imaging and Vision. 59:498-514
A weighted total variation model with a spatially varying regularization weight is considered. Existence of a solution is shown, and the associated Fenchel predual problem is derived. For automatically selecting the regularization function, a bilevel
Publikováno v:
Journal of Mathematical Imaging and Vision. 59:515-533
Based on the weighted total variation model and its analysis pursued in Hintermuller and Rautenberg 2016, in this paper a continuous, i.e., infinite dimensional, projected gradient algorithm and its convergence analysis are presented. The method comp
In this note, we prove that the minimal and maximal solution maps associated to elliptic quasi-variational inequalities of obstacle type are directionally differentiable with respect to the forcing term and for directions that are signed. Along the w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0262af7be5c6e64a6d7aa890f3098469
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumptions on the obstacle mapping, we prove the existence of solutions of such QVIs by two methods: one by time discretisation through elliptic QVIs and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dd9171969e23727000e37d9c402771f
http://arxiv.org/abs/1904.13230
http://arxiv.org/abs/1904.13230