Partial Differential Equations: Topics in Fourier Analysis

WONG M. W.

ISBN 10: 1032073160 / ISBN 13: 9781032073163

Editore: H N H International Limited, 2022

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2nd Edition.

Codice articolo 402584864

Dati bibliografici

• Titolo: Partial Differential Equations: Topics in Fourier Analysis
• Editore: H N H International Limited
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 1032073160
• ISBN 13: 9781032073163
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: New

Descrizione articolo

Riassunto

Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis.

Using Fourier analysis, the text constructs explicit formulas for solving PDEs governed by canonical operators related to the Laplacian on the Euclidean space. After presenting background material, it focuses on: Second-order equations governed by the Laplacian on Rn; the Hermite operator and corresponding equation; and the sub-Laplacian on the Heisenberg group

Designed for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the PDE course for graduate students in mathematics who are pursuing a research career in analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis, rather than a bunch of isolated ad-hoc techniques.

New to the Second Edition

• Three brand new chapters covering several topics in analysis not explored in the first edition
• Complete revision of the text to correct errors, remove redundancies, and update outdated material
• Expanded references and bibliography
• New and revised exercises.

Informazioni sull?autore

M. W. Wong is a professor in and former chair of the Department of Mathematics and Statistics at York University in Toronto, Canada. From 2005 to 2009, he was president of the International Society for Analysis, its Applications and Computations (ISAAC).