Verfasst von:	Wong, Man Wah [VerfasserIn]
Titel:	Partial differential equations
Titelzusatz:	topics in Fourier analysis
Verf.angabe:	M.W. Wong (York University, Canada)
Ausgabe:	Second edition
Verlagsort:	Boca Raton ; London ; New York
Verlag:	CRC Press
Jahr:	2023
Umfang:	ix, 197 Seiten
Fussnoten:	Literaturverzeichnis: Seite 191-194
ISBN:	978-1-032-07316-3
	978-1-032-07409-2
Abstract:	"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 New to the second edition: complete revision of the text to correct errors, removal of redundancies, and updates to outdated material. Also includes expanded references and bibliography, new and revised exercises, and three brand new chapters covering several topics in analysis not explored in the first edition"--
DOI:	doi:10.1201/9781003206781
URL:	Inhaltsverzeichnis: https://www.gbv.de/dms/tib-ub-hannover/1815037121.pdf
	zbMATH: https://zbmath.org/1497.35002
	DOI: https://doi.org/10.1201/9781003206781
Schlagwörter:	(s)Harmonische Analyse    / (s)Partielle Differentialgleichung    / (s)Fourier-Transformation    / (s)Laplace-Operator    / (s)Hermite-Polynome    / (s)Heisenberg-Gruppe    / (s)Hypoelliptischer Operator
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Online-Ausgabe: Wong, M. W.: Partial Differential Equations. - 2nd ed.. - Milton : CRC Press LLC, 2013. - 1 online resource (208 pages)
RVK-Notation:	SK 540
K10plus-PPN:	1815037121