On the geometric concomitant equation
نویسندگان
چکیده
منابع مشابه
On a geometric equation with critical nonlinearity on the boundary
A theorem of Escobar asserts that, on a positive three dimensional smooth compact Riemannian manifold with boundary which is not conformally equivalent to the standard three dimensional ball, a necessary and sufficient condition for a C2 function H to be the mean curvature of some conformal scalar flat metric is that H is positive somewhere. We show that, when the boundary is umbilic and the fu...
متن کاملGeometric Heat Equation and
We propose a geometric smoothing method based on local curvature in shapes and images which is governed by the geometric heat equation and is a special case of the reaction-diiusion framework proposed by 28]. For shapes, the approach is analogous to the classical heat equation smoothing, but with a renormalization by arc-length at each innnitesimal step. For images, the smoothing is similar to ...
متن کاملGeometric optics and the wave equation on manifolds with corners
According to geometric optics, light propagates in straight lines (in homogeneous media), reflects/refracts from surfaces according to Snell’s law: energy and tangential momentum are conserved. Thus, when reflecting from a hypersurface (which has codimension one) one gets the usual law of incident and reflected rays enclosing an equal angle to the normal to the surface. Indeed, conservation of ...
متن کاملGeometric Numerical Schemes for the Kdv Equation
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous symplectic and multi-symplectic schemes have been proposed to solve numerically the celebrated Korteweg-de Vries (KdV) equation. In this work, we show that geometrical schemes are as much robust and accurate as Fourier...
متن کاملThe Geometric Heat Equation and Surface Fairing
This paper concentrates on analysis and discussion of the heat equation as it pertains to smoothing of geometric shapes and its relationship to the problem of surface fairing. The geometric heat equation distorts a given shape in order to obtain scale-space representation of a shape. This scale-space provides a complete description of the original shape in terms of small to large scale structur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2020
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-020-00702-9