Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Rautenberg Carlos N."'
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1466-1495 (2022)
In this article, we consider nondiffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space be
Externí odkaz:
https://doaj.org/article/effc3c4bc76b42e69e49cf82958dc249
Quasi-variational inequalities (QVIs) of obstacle type in many cases have multiple solutions that can be ordered. We study a multitude of properties of the operator mapping the source term to the minimal or maximal solution of such QVIs. We prove tha
Externí odkaz:
http://arxiv.org/abs/2312.13879
In this paper we study set convergence aspects for Banach spaces of vector-valued measures with divergences (represented by measures or by functions) and applications. We consider a form of normal trace characterization to establish subspaces of meas
Externí odkaz:
http://arxiv.org/abs/2306.15366
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionless materials. Such models and their mathematical descriptions are high
Externí odkaz:
http://arxiv.org/abs/2209.00075
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2024 533(2)
Publikováno v:
Journal of Convex Analysis 28 (2021), No. 2, 629--654
Since its introduction over 50 years ago, the concept of Mosco convergence has permeated through diverse areas of mathematics and applied sciences. These include applied analysis, the theory of partial differential equations, numerical analysis, and
Externí odkaz:
http://arxiv.org/abs/2106.13665
In this paper, we consider non-diffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space bei
Externí odkaz:
http://arxiv.org/abs/2106.12680
Autor:
Arndt, Rafael, Rautenberg, Carlos N.
We consider differentiability issues associated to the problem of minimizing the accumulation of a granular cohesionless material on a certain surface. The design variable or control is determined by source locations and intensity thereof. The contro
Externí odkaz:
http://arxiv.org/abs/2106.12653
We introduce a definition of the fractional Laplacian $(-\Delta)^{s(\cdot)}$ with spatially variable order $s:\Omega\to [0,1]$ and study the solvability of the associated Poisson problem on a bounded domain $\Omega$. The initial motivation arises fro
Externí odkaz:
http://arxiv.org/abs/2106.11471
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a M
Externí odkaz:
http://arxiv.org/abs/2104.01413