Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences

ISBN-13: 9780443187056 / Angielski / Miękka / 2023

Hong-Ming Yin

Spis treści

Preface CHAPTER 1 Basics of partial differential equations CHAPTER 2 Function spaces and the Fredholm Alternative CHAPTER 3 Eigenvalue problems and eigenfunction expansions CHAPTER 4 The heat equation CHAPTER 5 The wave equation CHAPTER 6 The Laplace equation CHAPTER 7 The Fourier transform and applications CHAPTER 8 The fundamental solution and Green's representation CHAPTER 9 Systems of first-order partial differential equations APPENDIX A Some essential results in ordinary differential equations APPENDIX B Sobolev spaces