Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics.
III POTENTIALS, DIFFUSIONS AND WAVES.- 9 Potential Theory and Fundamental Solutions of Elliptic Equations.- 10 Diffusions and Parabolic Evolution Equations.- 11 Waves and Hyperbolic Equations.- 12 First Order Nonlinear PDEs and Conservation Laws.- 13 Generalized Solutions of First Order Nonlinear PDEs.- 14 Nonlinear waves and growing interfaces: 1-D Burgers-KPZ models.- 15 Other Standard Nonlinear Models of Higher Order.- Appendix A: Answers and Solutions.- Appendix B: Bibliographical Notes.
From the reviews: "The book will be useful to graduate students and researchers who are interested in the applications of distributions and partial differential equations to the applied sciences." (Denise Huet, zbMATH, Vol. 1283, 2014)