다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

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Convex Analysisの二,三の進展について

A novel scheme for the detection of object boundaries is presented. The technique is based on active contours deforming according to intrinsic geometric measures of the image. The evolving contours naturally split and merge, allowing the simultaneous detection of several objects and both interior and exterior boundaries. The proposed approach is based on the relation between active contours and the computation of geodesics or minimal distance curves. The minimal distance curve lays in a Riemannian space whose metric as defined by the image content. This geodesic approach for object segmentation allows to connect classical "snakes" based on energy minimization and geometric active contours based on the theory of curve evolution. Previous models of geometric active contours are improved as showed by a number of examples. Formal results concerning existence, uniqueness, stability, and correctness of the evolution are presented as well. >

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Geodesic active contours

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking arguments. The range of important applications of these results is enormous. This article is a self-contained exposition of the basic theory of viscosity solutions

https://www.ams.org/bull/1992-27-01/S0273-0979-1992-00266-5/S0273-0979-1992-00266-5.pdf

User’s guide to viscosity solutions of second order partial differential equations

This paper treats degenerate parabolic equations of second order 

$$u_t + F(\nabla u,\nabla ^2 u) = 0$$

(14.1)

related to differential geometry, where ∇ stands for spatial derivatives of u = u{t,x) in x ∈ R n , and u t represents the partial derivative of u in time t. We are especially interested in the case when (1.1) is regarded as an evolution equation for level surfaces of u. It turns out that (1.1) has such a property if F has a scaling invariance 

$$F(\lambda p,\lambda X + \sigma p \otimes p) = \lambda F(p.X),\,\,\,\,\,\,\lambda > 0,\,\,\sigma \in \mathbb{R}$$

(14.2)

for a nonzero p ∈ R n and a real symmetric matrix X, where ⊗ denotes a tensor product of vectors in R n . We say (1.1) is geometric if F satisfies (1.2). A typical example is 

$$u_t - \left| {\nabla u} \right|div(\nabla u/\left| {\nabla u} \right|) = 0,$$

(14.3)

where ∇u is the (spatial) gradiant of u. Here ∇u/|∇u| is a unit normal to a level surface of u, so div (∇u/|∇u|) is its mean curvature unless ∇u vanishes on the surface. Since u t /\∇u\ is a normal velocity of the level surface, (1.3) implies that a level surface of solution u of (1.3) moves by its mean curvature unless ∇u vanishes on the surface. We thus call (1.3) the mean curvature flow equation in this paper.

/pdf/uniqueness-and-existence-of-viscosity-solutions-of-56yszlajaq.pdf

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

: This reprint studies the blow-up of solutions of a nonlinear heat equation. The main goal is to characterize the asymptotic behavior of u near a singularity, assuming a suitable upper bound on the rate of blowup. Additional keywords: Liouville theorem; and Asymptotic normality.

Yoshikazu Giga

Papers

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Asymptotically self‐similar blow‐up of semilinear heat equations

Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains