Hostname: page-component-7b9c58cd5d-sk4tg Total loading time: 0 Render date: 2025-03-16T10:28:27.116Z Has data issue: false hasContentIssue false

Remarks on the existence, uniqueness and semi-explicit solvability of systems of autonomous partial differential equations in divergence form with constant boundary conditions

Published online by Cambridge University Press:  03 June 2011

Giovanni Cimatti
Affiliation:
Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, Pisa, Italy (cimatti@dm.unipi.it)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A method is proposed for reducing autonomous nonlinear boundary-value problems of partial differential equations with a particular structure and constant boundary conditions to the simple problem

This requires the solution of a non-standard two-point system of ordinary differential equations. Some applications are also presented for classical problems of mathematical physics.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2011