Results 231 to 240 of about 327,801 (268)

ON GLOBAL EXISTENCE OF AN IMPLICIT FUNCTION

Russian Academy of Sciences. Sbornik Mathematics, 1994
This article presents some new global implicit function theorems in the smooth case. The main idea of these results is based on special upper estimates for implicit functions that guarantees location of the graph of this function in a fixed domain. A row of theorems on that the graph of implicit functions is a smooth retract of Lebesgue neighborhoods ...
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Global Existence for the Relativistic Enskog Equations

Acta Mathematica Scientia, 2020
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Huang, Jianjun, Jiang, Zhenglu
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On the Global Existence for the Kuramoto-Sivashinsky Equation

Journal of Dynamics and Differential Equations, 2021
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Kukavica, Igor, Massatt, David
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Global existence

2013
Abstract In Chapter 31, we prove future global existence in the case that the initial data are specified on the 3-torus, and assuming the initial data are close to those of de Sitter space. The proof is a bootstrap argument, one important ingredient being a system of differential inequalities.
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Existence of Global Minima for Constrained Optimization

Journal of Optimization Theory and Applications, 2006
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Ozdaglar, A. E., Tseng, P.
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GLOBAL EXISTENCE

2003
Abstract This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid under suitable restrictions imposed on the constitutive laws.
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On the existence of global first integrals in the plane

Annali di Matematica Pura ed Applicata, 1993
The authors are concerned with the existence of global, smooth first integrals of noncritical, autonomous first order systems of ordinary differential equation in the plane of such kind: (1) \(x'= f(x)\), \(x\in R^ 2\), \(f\in C^ k(R^ 2,R^ 2)\), \(1\leq k\leq \omega\).
L. Mazzi, Sabatini, Marco
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Actually Existing Globalization

2000
There are two great, world-encompassing changes associated with the last quarter of the twentieth century: the rapid integration of the global economy and the unprecedented decline in the economic role of the state in most countries. The first of these, usually referred to as ‘globalization’, represents not a new direction but an acceleration of the ...
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The Existence and the Non-existence of Global Solutions of a Free Boundary Problem

Journal of Partial Differential Equations, 2004
The paper examines the parabolic equation \[ \frac{1}{\tau} v_t = v_{xx} - 2v + H(x-\Phi(t)) \] on \((0,1)\times \mathbb{R}_+\) with zero Neumann boundary conditions, \(H\) the Heaviside function and \(\Phi\) satisfying \(0< \Phi (0)
Yin, Rong, Yu, Wanghui
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Global Existence for Semilinear Parabolic Systems

SIAM Journal on Mathematical Analysis, 1989
The paper is concerned with global existence of solutions to problems involving a semilinear parabolic system \[ v_ t(x,t)=D\Delta v(x,t)+f(v(x,t)),\quad x\in \Omega,\quad t>0, \] where \(\Omega \subset {\mathbb{R}}^ n\), bounded and with a smooth boundary, D is an \(m\times m\) diagonal matrix with positive diagonal entries, \[ v(x,0)=v_ 0(x)\in L ...
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