Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

H Ishii, PL Lions - Journal of Differential equations, 1990 - Elsevier
We investigate comparison and existence results for viscosity solutions of fully nonlinear,
second-order, elliptic, possibly degenerate equations. These results complement those …

[PDF][PDF] A tutorial on KAM theory

R De la Llave - Proceedings of Symposia in Pure Mathematics, 2001 - Citeseer
This is a tutorial on some of the main ideas in KAM theory. The goal is to present the
background and to explain and compare somewhat informally some of the main methods of …

Implicit geometric regularization for learning shapes

A Gropp, L Yariv, N Haim, M Atzmon… - arXiv preprint arXiv …, 2020 - arxiv.org
Representing shapes as level sets of neural networks has been recently proved to be useful
for different shape analysis and reconstruction tasks. So far, such representations were …

Pose-ndf: Modeling human pose manifolds with neural distance fields

G Tiwari, D Antić, JE Lenssen, N Sarafianos… - … on Computer Vision, 2022 - Springer
We present Pose-NDF, a continuous model for plausible human poses based on neural
distance fields (NDFs). Pose or motion priors are important for generating realistic new …

[图书][B] Variational analysis

RT Rockafellar, RJB Wets - 2009 - books.google.com
From its origins in the minimization of integral functionals, the notion of'variations' has
evolved greatly in connection with applications in optimization, equilibrium, and control. It …

[图书][B] Dynamic noncooperative game theory

T Başar, GJ Olsder - 1998 - SIAM
This is the revised second edition of our 1982 book with the same title, which presents a
rather comprehensive treatment of static and dynamic noncooperative game theory, with …

[图书][B] Set-valued analysis

JP Aubin, JP Aubin - 1999 - Springer
Set-Valued Analysis Page 1 5 Set-Valued Analysis Introduction This chapter relates the
notions of mutations with the concept of gmphical derivatives of set-valued maps and more …

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

MG Crandall, H Ishii, PL Lions - Bulletin of the American mathematical …, 1992 - ams.org
The notion of viscosity solutions of scalar fully nonlinear partial differential equations of
second order provides a framework in which startling comparison and uniqueness …

Viscosity solutions of Hamilton-Jacobi equations

MG Crandall, PL Lions - Transactions of the American mathematical society, 1983 - ams.org
Problems involving Hamilton-Jacobi equations—which we take to be either of the stationary
form $ H (x, u, Du)= 0$ or of the evolution form ${u_ {t}}+ H (x, t, u, Du)= 0$, where $ Du $ is …

A fast marching level set method for monotonically advancing fronts.

JA Sethian - proceedings of the National Academy of …, 1996 - National Acad Sciences
A fast marching level set method is presented for monotonically advancing fronts, which
leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are …