000			01989nam a22002537a 4500
005			20250619165724.0
008			250619b |||||||| |||| 00| 0 eng d
020			_a9781032073163
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB334 R3 _qCSL
100			_aWong, M W
110			_eauthor.
245			_aPartial Differential Equations _b: Topics in Fourier Analysis
250			_a2nd ed.
260			_aBoca Raton : _bCRC press, _c2023.
300			_aix, 197p. _b: ill. _c;23cm.
500			_aIncludes bibliography and index
520			_aPartial 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.
650			_aDistribution Theory _9450932
650			_a Fourier Analysis _9813459
650			_aSpectral Theory _9461843
942			_2CC _cTEXL _e2nd ed. _hB334 R3 _n0
999			_c1431895 _d1431895