Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Kuroda, Hirotoshi"'
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit of the Kobayashi-Warren-Carter energy with minimization with respect
Externí odkaz:
http://arxiv.org/abs/2408.04228
Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including definition of a solution, explicit examples and the notion of calibrability,
Externí odkaz:
http://arxiv.org/abs/2401.17179
Autor:
Giga, Yoshikazu, Kubo, Ayato, Kuroda, Hirotoshi, Okamoto, Jun, Sakakibara, Koya, Uesaka, Masaaki
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling, the limit system is formally derived when the interface thickness pa
Externí odkaz:
http://arxiv.org/abs/2306.15235
We define rigorously a solution to the fourth-order total variation flow equation in $\mathbb{R}^n$. If $n\geq3$, it can be understood as a gradient flow of the total variation energy in $D^{-1}$, the dual space of $D^1_0$, which is the completion of
Externí odkaz:
http://arxiv.org/abs/2205.07435
Autor:
Kuroda, Hirotoshi
We consider the convergent problems of Dirichlet forms associated with the Laplace operators on thin domains. This problem appears in the field of quantum waveguides. We study that a sequence of Dirichlet forms approximating the Laplace operators wit
Externí odkaz:
http://arxiv.org/abs/1106.5476
Publikováno v:
Mathematics in Engineering; 2023, Vol. 5 Issue 6, p1-45, 45p
Publikováno v:
Hokkaido University Preprint Series in Mathematics. 1145:1-38
We define rigorously a solution to the fourth-order total variation flow equation in Rn. If n ≥ 3, it can be understood as a gradient flow of the total variation energy in D-1 ,the dual space of D10, which is the completion of the space of compactl
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Publikováno v:
Hokkaido University Preprint Series in Mathematics. 1064:1-36
We consider a fourth-order total variation ow, which is studied in image recovery and materials science. In this paper, we characterize a total variation ow in H1-space with Dirichlet boundary condition. Furthermore, we show an extinction time es
Autor:
GIGA, YOSHIKAZU, Kuroda, Hirotoshi
Publikováno v:
Hokkaido University Preprint Series in Mathematics. 1048:1-37
For a very strong diffusion equation like total variation flow it is often observed that the solution stops at a steady state in a finite time. This phenomenon is called a finite time stopping or a finite time extinction if the steady state is zero.