Existence of local solutions for elliptic systems

1965 ◽  
pp. 39-43
Author(s):  
Gaetano Fichera
Keyword(s):  
Elliptic Systems ◽  
Local Solutions

The Centralizer

2018 ◽  
Author(s):  
Ercüment H. Ortaçgil
Keyword(s):  
Lie Group ◽  
Group Structure ◽  
Diffeomorphism Group ◽  
Group Diff ◽  
Local Solutions

The pseudogroup of local solutions in Chapter 3 defines another pseudogroup by taking its centralizer inside the diffeomorphism group Diff(M) of a manifold M. These two pseudogroups define a Lie group structure on M.

Local solutions to global phosphorus imbalances

Nature Food ◽  
2021 ◽  
Author(s):  
Philip M. Haygarth ◽  
Mariana C. Rufino
Keyword(s):  
Local Solutions

scholarly journals Location-Specific Adjustments in Population and Employment across Metropolitan America

Urban Science ◽  
2021 ◽  
Vol 5 (1) ◽  
pp. 24
Author(s):  
Gordon F. Mulligan ◽  
John I. Carruthers
Keyword(s):  
Labor Markets ◽  
Metropolitan Areas ◽  
Adjustment Process ◽  
Equilibrium Solutions ◽  
Natural Amenities ◽  
Long Run ◽  
Local Sustainability ◽  
Universal Solution ◽  
Standard Linear ◽  
Local Solutions

This paper examines the joint adjustment of population and employment numbers across America’s metropolitan areas during the period 1990–2015. Current levels of both are estimated, for 10 year periods, using their lagged (own and cross) levels and eight other lagged variables. Population is affected by both human and natural amenities and employment by wages, patents, and other attributes of the workforce. This paper questions the conventional interpretation of the adjustment process by using geographically weighted regression (GWR) instead of standard linear (OLS, 2GLS) regression. Here the various estimates are all local, so the long-run equilibrium solutions for the adjustment process vary over space. Convergence no longer indicates a stable universal solution but instead involves a mix of stable and unstable local solutions. Local sustainability becomes an issue when making projections because employment can quickly lead or lag population in some metropolitan labor markets.

Sign in / Sign up

Export Citation Format

Share Document