Partial Differential Equations: Topics in Fourier Analysis Wong M. W.
Partial Differential Equations: Topics in Fourier Analysis Wong M. W. Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and…
Specifikacia Partial Differential Equations: Topics in Fourier Analysis Wong M. W.
Partial Differential Equations: Topics in Fourier Analysis Wong M. W.
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. 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 groupDesigned for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the 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.