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Displaying 141 – 160 of 181

Global stability for diagrams of differentiable applications

Luis Antonio Favaro, C. M. Mendes (1986)

Annales de l'institut Fourier

In this paper, we give some examples which point to the non-existence of $C^{\infty}$ -global stable diagrams $R \overset{g}{\leftarrow} M \overset{f}{\to} R$ , $M$ compact. If $Φ$ : $M \to Q$ is fixed we define the $Φ$ -equivalence for maps $f : M \to P$ and the corresponding $Φ$ -stability. The globalization procedure works and we can compare the $Φ$ -stability, $Φ$ -infinitesimal stability, and $Φ$ -homotopical stability. Also we give some characterization theorems for lower dimensions.

Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in $ℝ^{3}$

F. Planchon (1996)

Annales de l'I.H.P. Analyse non linéaire

Global weak solutions for $1 + 2$ dimensional wave maps into homogeneous spaces

Yi Zhou (1999)

Annales de l'I.H.P. Analyse non linéaire

Global weak solutions of the wave map system to compact homogeneous spaces.

A. Freiere (1996)

Manuscripta mathematica

Global φ-attractor for a modified 3D Bénard system on channel-like domains

O.V. Kapustyan, A.V. Pankov (2014)

Nonautonomous Dynamical Systems

In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.

Globally invertible differentiable or holomorphic maps

E. Ballico (2001)

Rendiconti del Seminario Matematico della Università di Padova

Gluing approximate solutions of minimum type on the Nehari manifold.

Li, Yanyan, Wang, Zhi-Qiang (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Gluing complex discs to Lagrangian manifolds by Gromov’s method

Alexandre Sukhov, Alexander Tumanov (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

The paper discusses some aspects of Gromov’s theory of gluing complex discs to Lagrangian manifolds.

Gluing of differentiable spaces and applications.

K. Spallek, W. Sasin (1992)

Mathematische Annalen

Graded Poisson structures on the algebra of differential forms.

J.V. Beltrán, J. Monterde (1995)

Commentarii mathematici Helvetici

Graded Riemann surfaces and Krichever-Novikov algebras

Bryant, Peter (1990)

Proceedings of the Winter School "Geometry and Physics"

Gradient estimates and blow-up analysis for stationary harmonic maps.

Lin, Fang-Hua (1999)

Annals of Mathematics. Second Series

Gradient estimates for a nonlinear equation $Δ_{f} u + c u^{- α} = 0$ on complete noncompact manifolds

Jing Zhang, Bingqing Ma (2011)

Communications in Mathematics

Let $(M, g)$ be a complete noncompact Riemannian manifold. We consider gradient estimates on positive solutions to the following nonlinear equation $Δ_{f} u + c u^{- α} = 0$ in $M$ , where $α$ , $c$ are two real constants and $α > 0$ , $f$ is a smooth real valued function on $M$ and $Δ_{f} = Δ - \nabla f \nabla$ . When $N$ is finite and the $N$ -Bakry-Emery Ricci tensor is bounded from below, we obtain a gradient estimate for positive solutions of the above equation. Moreover, under the assumption that $\infty$ -Bakry-Emery Ricci tensor is bounded from below and $| \nabla f |$ is bounded from above,...

Gradient estimates for inverse curvature flows in hyperbolic space

Julian Scheuer (2015)

Geometric Flows

We prove gradient estimates for hypersurfaces in the hyperbolic space Hn+1, expanding by negative powers of a certain class of homogeneous curvature functions F. We obtain optimal gradient estimates for hypersurfaces evolving by certain powers p > 1 of F-1 and smooth convergence of the properly rescaled hypersurfaces. In particular, the full convergence result holds for the inverse Gauss curvature flow of surfaces without any further pinching condition besides convexity of the initial hypersurface....

Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields.

Shing-Tung Yau, Huai-Dong Cao (1992)

Mathematische Zeitschrift

Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds

Nguyen Ngoc Khanh (2016)

Archivum Mathematicum

In this paper, we consider gradient estimates on complete noncompact Riemannian manifolds $(M, g)$ for the following general heat equation $u_{t} = Δ_{V} u + a u log u + b u$ where $a$ is a constant and $b$ is a differentiable function defined on $M \times [0, \infty)$ . We suppose that the Bakry-Émery curvature and the $N$ -dimensional Bakry-Émery curvature are bounded from below, respectively. Then we obtain the gradient estimate of Li-Yau type for the above general heat equation. Our results generalize the work of Huang-Ma ([4]) and Y. Li ([6]), recently.

Gradient flow for the one-dimensional Mumford-Shah functional

Massimo Gobbino (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Gradient flows of non convex functionals in Hilbert spaces and applications

Riccarda Rossi, Giuseppe Savaré (2006)

ESAIM: Control, Optimisation and Calculus of Variations

This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space $ℋ$ $\{\begin{matrix} u^{...} \end{matrix}$

Gradient horizontal de fonctions polynomiales

Si Tiep Dinh, Krzysztof Kurdyka, Patrice Orro (2009)

Annales de l’institut Fourier

Nous étudions les trajectoires du gradient sous-riemannien (appellé horizontal) de fonctions polynômes. Dans ce cadre l’inégalité de Łojasiewicz n’est pas valide et une trajectoire du gradient horizontal peut être de longueur infinie, et peut même s’accumuler sur une courbe fermée. Nous montrons que ces comportement sont exceptionnels ; et que, pour une fonction générique les trajectoires de son gradient horizontal ont des propriétés similaires au cas du gradient riemannien. Pour obtenir la finitude...

Gradient methods for the construction of Ljusternik-Schnirelmann critical values

Alexander Kratochvíl, Jindřich Nečas (1980)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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