scholarly journals On a class of fully nonlinear flows in Kähler geometry

2011 ◽  
Vol 2011 (653) ◽  
Author(s):  
Hao Fang ◽  
Mijia Lai ◽  
Xinan Ma
Keyword(s):  
Kahler Geometry ◽  
Fully Nonlinear ◽  
Nonlinear Flows

scholarly journals On the second boundary value problem for a class of fully nonlinear flows II

2018 ◽  
Vol 111 (4) ◽  
pp. 407-419
Author(s):  
Juanjuan Chen ◽  
Rongli Huang ◽  
Yunhua Ye
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Fully Nonlinear ◽  
Nonlinear Flows

scholarly journals A sharp inscribed radius estimate for fully nonlinear flows

2019 ◽  
Vol 141 (1) ◽  
pp. 41-53
Author(s):  
Simon Brendle ◽  
And Pei-Ken Hung
Keyword(s):  
Fully Nonlinear ◽  
Nonlinear Flows

scholarly journals On the Second Boundary Value Problem for a Class of Fully Nonlinear Flows I

2017 ◽  
Vol 2019 (18) ◽  
pp. 5539-5576 ◽  
Author(s):  
Rongli Huang ◽  
Yunhua Ye
Keyword(s):  
Boundary Value ◽  
Parabolic Type ◽  
Nonlinear Parabolic Equations ◽  
Fully Nonlinear ◽  
Special Lagrangian ◽  
Long Time Existence ◽  
Nonlinear Parabolic ◽  
Long Time ◽  
Nonlinear Flows ◽  
Type Boundary

Abstract In this article, a class of fully nonlinear flows with nonlinear Neumann type boundary condition is considered. This problem was solved partly by the first author under the assumption that the flow is the parabolic type special Lagrangian equation in $\mathbb{R}^{2n}$. We show that the convexity is preserved for solutions of the fully nonlinear parabolic equations and prove the long time existence and convergence of the flow. In particular, we can prescribe the second boundary value problems for a family of special Lagrangian graphs in Euclidean and pseudo-Euclidean space.

Farfield extension of fully nonlinear nearfield ship waves

1999 ◽  
Author(s):  
Chi Yang ◽  
Rainald Lohner ◽  
Francis Noblesse
Keyword(s):  
Fully Nonlinear ◽  
Ship Waves

Electromagnetic subsurface prospecting by a fully nonlinear multifocusing inexact Newton method

2014 ◽  
Vol 31 (12) ◽  
pp. 2618 ◽  
Author(s):  
Marco Salucci ◽  
Giacomo Oliveri ◽  
Andrea Randazzo ◽  
Matteo Pastorino ◽  
Andrea Massa
Keyword(s):  
Newton Method ◽  
Inexact Newton Method ◽  
Fully Nonlinear

scholarly journals Deformation classes in generalized Kähler geometry

2020 ◽  
Vol 7 (1) ◽  
pp. 241-256
Author(s):  
Matthew Gibson ◽  
Jeffrey Streets
Keyword(s):  
Symmetry Group ◽  
Ricci Flow ◽  
Kahler Geometry ◽  
Poisson Tensor ◽  
Natural Extensions ◽  
Generalized Kähler Geometry ◽  
Kähler Structures

AbstractWe describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.

scholarly journals A Note on the Strong Maximum Principle for Fully Nonlinear Equations on Riemannian Manifolds

2021 ◽  
Author(s):  
Alessandro Goffi ◽  
Francesco Pediconi
Keyword(s):  
Maximum Principle ◽  
Riemannian Manifolds ◽  
Mean Curvature ◽  
Strong Maximum Principle ◽  
Second Order ◽  
Fully Nonlinear Equations ◽  
Nonlinear Operators ◽  
Fully Nonlinear ◽  
Second Order Equations ◽  
Curvature Type

AbstractWe investigate strong maximum (and minimum) principles for fully nonlinear second-order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate scaling conditions. Our results apply to a large class of nonlinear operators, among which Pucci’s extremal operators, some singular operators such as those modeled on the p- and $$\infty $$ ∞ -Laplacian, and mean curvature-type problems. As a byproduct, we establish new strong comparison principles for some second-order uniformly elliptic problems when the manifold has nonnegative sectional curvature.

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