000			01848nam a22002057a 4500
005			20250218115030.0
008			250218b ||||| |||| 00| 0 eng d
020			_a9781466584013
040			_cAL
041			_aeng
082			_223 _a515.353 _bWONP
100			_aWong M W _9200660
245			_aPartial differential equations _b: topics in fourier analysis
260			_aBoca Raton _bCRC Press _c2015
300			_aviii,174p. _bPB _c22.8x15.2cm.
365			_2General _a6388 _b₹356.00 _c₹ _d₹445.00 _e20% _f06-02-2025
520			_aPartial Differential Equations: Topics in Fourier Analysis 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 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			_2Differential Equations _aPartial Differential Equations _9200661
942			_2ddc _cBK
999			_c233829 _d233829