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[CT063]

CT063 (1/1) : General theory of linear operators (47A) / Nonlinear operators and their properties (47H) / Integral, integro-differential, and pseudodifferential operators (47G) / Calculus of variations and optimal control; optimization (49-)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311
Type : Contributed Talk
Abstract : The rigged Hilbert space that associates the distribution functions with the Hilbert space is the fundamental one of quantum mechanics to define the bra-ket vectors. Their construction has been attempted mainly for single-particle systems. We are trying to extend the rigged Hilbert space formulation to various realistic quantum systems. In this presentation, we present the result of extending this formulation to quantum many-body systems.
Classification : 47A70, 81Q10, 81V70
Format : Talk at Waseda University
Author(s) :
- Junichi Takahashi (Waseda University)
- Shousuke Ohmori (Waseda University)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311
Type : Contributed Talk
Abstract : We focus on the investigation of the problem of finding a common point lying in the solutions set of a system of generalized nonlinear variational-like inclusions and the fixed points set of a total asymptotically nonexpansive mapping. A new iterative algorithm is suggested by employing the concepts of $P$-$\eta$-proximal-point mapping and graph convergence. Convergence of a sequence of above is established. We Prove the strong convergence and stability of the sequence generated by our algorithm.
Classification : 47H20, Operator theory
Format : Talk at Waseda University
Author(s) :
- Suliman S Al-Homidan (King Fahd University of Petroleum and Minerals)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311
Type : Contributed Talk
Abstract : Throughout the last years, increased attention has been devoted to the investigation of nonlocal models in which points separated by a non-vanishing distance interact with each other. In this talk, we present a weak maximum principle for nonlocal boundary value problems and point out a possible application.
Classification : 47G20, Analysis of Nonlocal Models
Format : Talk at Waseda University
Author(s) :
- Julia Huschens (Trier University)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311
Type : Contributed Talk
Abstract : In nonlocal models points separated by a non-vanishing distance interact with each other. Therefore, domains separated by a non-vanishing distance can be coupled in these models. In this talk, we consider the nonlocal diffusion operator $\mathcal{L}u(x):=\int_{\mathbb{R}^{d}}u(x)-u(y)\gamma(y,x))\,\mathrm{d}y$ and the nonlocal Neumann operator $\mathcal{N} u(y):=\int_{\Omega}(u(y)-u(x))\gamma(x,y)\,\mathrm{d}x$. With these operators we introduce a coupled Neumann problem and we, moreover, consider parabolic nonlocal Neumann equations.
Classification : 47G20, Analysis of nonlocal models
Format : Talk at Waseda University
Author(s) :
- Michael Vu (University Trier)

Session Time & Room : 3E (Aug.23, 17:40-19:20) @F311
Type : Contributed Talk
Abstract : Template channels within tissue-engineered skin grafts can provide a promising tool for faster microvasculature formation and transport of nutrients to cells outside channels. Developing viable grafts requires the optimal design to support cell viability by controlled channel geometry and biomaterial properties. We discuss the recent advances in creating a robust computational framework to simulate physical and biological phenomena in graft samples. The first computational results will speak for future applications to models using laboratory data.
Classification : 49-06, 92-10, 76Z05, 92-08, 92C75
Format : Talk at Waseda University
Author(s) :
- Chris Bashur (Florida Institute of Technology)
- Beste Caner (Florida Institute of Technology)
- Vladislav Bukshtynov (Florida Institute of Technology)