Classification of second-order linear p.d.e.
Introduction to linear partial differential equations
Article REF: AF162 V1
Classification of second-order linear p.d.e.
Introduction to linear partial differential equations

Author : Gérard DEBEAUMARCHÉ

Publication date: October 10, 1999 | Lire en français

Logo Techniques de l'Ingenieur You do not have access to this resource.
Request your free trial access! Free trial

Already subscribed?

1. Classification of second-order linear p.d.e.

This paragraph is designed to distinguish three types of equation, which are different both mathematically (properties of solutions, methods of demonstration) and physically.

First, let's look at the case of p.d.e.s dependent on two real variables.

Definition 1.

The partial differential equation (E) given in the introduction :

a∂2u∂x2+b∂2u∂x∂y+c∂2u∂y2+α∂u∂x+β∂u∂y+

You do not have access to this resource.
Logo Techniques de l'Ingenieur

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed?

Article included in this offer

"Mathematics"

( 166 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details
Contact us
Contact our team FAQ