Qualitative Estimates for Partial Differential Equations
An Introduction
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ISBN-13:
9780367448790
Veröffentl:
2019
Erscheinungsdatum:
02.12.2019
Seiten:
388
Autor:
J N Flavin
Gewicht:
676 g
Format:
254x178x20 mm
Sprache:
Englisch
Beschreibung:
This book deals with the determination of qualitative estimates for solutions of partial differential equations subject to boundary and/or initial conditions. It is suitable for senior undergraduates, first year postgraduates, and for others contemplating research in partial differential equations.
Part I: Methodology 1. Preliminaries and Fundamental Issues 2. Estimates based on First Order Inequalities is Liapunov Direct Method 3. Estimates based on First Order Inequalities 2: Volume Integral Method 4. Estimates based on Second Order Inequalities 5. Identities Holding along Solutions to Partial Differential Equations: Lagrange Identity Method 6. Weighted Integral Methods Part II: Applications 7. Elliptic Equations 8. Parabolic Equations 9. Hyperbolic, Related Equations, and Others
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