02006nam a22002177a 450000500170000000800410001702000180005804000070007604100080008308200220009110000210011324500650013426000320019930000330023136500620026452012130032665000670153994200120160699900190161895201510163720250218115030.0250218b           ||||| |||| 00| 0 eng d  a9781466584013  cAL  aeng  223a515.353bWONP  aWong M W9200660  aPartial differential equationsb: topics in fourier analysis  aBoca RatonbCRC Pressc2015  aviii,174p.bPBc22.8x15.2cm.  2Generala6388b₹356.00c₹d₹445.00e20%f06-02-2025  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.  2Differential EquationsaPartial Differential Equations9200661  2ddccBK  c233829d233829  00102ddc40708MATaSACPGbSACPGd2025-02-10eBiblios Book Pointg356.00l0o515.353 WONPpPG024860r2025-02-18 00:00:00v445.00w2025-02-18yBK