Partial Differential Equations: An Introduction

Partial Differential Equations: An Introduction

by Gïnter Hellwig

Paperback(2. Aufl. 1960)

$49.99
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Product Details

ISBN-13: 9783519122135
Publisher: Vieweg+Teubner Verlag
Publication date: 03/03/2013
Series: Mathematische Leitf�den
Edition description: 2. Aufl. 1960
Pages: 259
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1. Examples.- 1. Introduction.- 2. The Wave Equation.- 3. The Potential Equation.- 4. The Heat Equation.- 2. Classification into Types, Theory of Characteristics, and Normal Form.- 1. Differential Equations of the First Order.- 2. Systems of Differential Equations of the First Order.- 3. On the Necessity of Classification Into Types.- 3. Questions of Uniqueness.- 1. Elliptic and Elliptic-Parabolic Type.- 2. Parabolic Type.- 3. Hyperbolic Type.- 4. Mixed Type.- 4. Questions of Existence.- 1. Equations of Hyperbolic Type in Two Independent Variables.- 2. Boundary and Initial-Value Problems for Equations of Hyperbolic and Parabolic Type in Two Independent Variables.- 3. Equations of Elliptic Type.- 4. Weyl’s Lemma for Equations of Elliptic Type.- 5. Simple Tools from Functional Analysis Applied to Questions of Existence.- 1. Auxiliary Tools.- 2. Schauder’s Technique of Proof for Existence Problems in Elliptic Differential Equations.- 3. The Regular Eigenvalue Problem.- 4. Elliptic Systems of Differential Equations.- Solutions.

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