Partial Differential Equations in Action from Modelling to Theory

Sandro Salsa8847007518, 978-88-470-0751-2, 978-88-470-0752-9

Table of contents :
Partial Differential Equations in Action……Page 1
Preface……Page 11
Contents……Page 4
1 – Introduction……Page 15
2 – Diffusion……Page 27
4 – Scalar Conservation Laws and First Order Equations……Page 116
5 – Waves and Vibrations……Page 235
6 – Elements of Functional Analysis……Page 316
7 – Distributions and Sobolev Spaces……Page 381
8 – Variational Formulation of Elliptic Problems……Page 445
9 – Weak Formulation of Evolution Problems……Page 506
Appendix A – Fourier Series……Page 544
Appendix B – Measures and Integrals……Page 550
Appendix C – Identities and Formulas……Page 558
References……Page 561
Index……Page 564