1. Home
  2. Fundamental sciences
  3. Mathematics
  4. Introduction to linear partial differential equations

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

Article | REF: AF162 V1

Introduction to linear partial differential equations

Author: Gérard DEBEAUMARCHÉ

Publication date: October 10, 1999

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

Already subscribed? Log in!

Français

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.

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? Log in!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Classification of second-order linear p.d.e.
Outline