On potentialized partial differential equations in theoretical spatial economics

✍ Scribed by Johan F. Kaashoek; Jean H.P. Paelinck

• Book ID: 103980870
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 648 KB
• Volume: 4
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/0960-0779(94)90067-1

✦ Synopsis

For use in theoretical spatial economics, classical partial differential equations should be generalized by potentializing the spatial variables; this has been undertaken for the one-dimensional wave equation. Three potentials (linear, exponential, Tanner) have been investigated; the exponential one especially has led to meaningful analytical solutions in terms of spatial economic patterns. Problems of stability and 'strangeness' of the dynamical solutions are discussed, and lines for further research set out.