ECUACIONES DIFERENCIALES PARCIALES - DRABEK

Título:
ELEMENTOS DE ECUACIONES DIFERENCIALES PARCIALES - DRABEK

Autores:
PAVEL DRÁBEK
GABRIELA HOLUBOVÁ

Edición:
2

Contenido:
1. Motivation, Derivation of Basic Mathematical Models
2. Classification, Types of Equations, Boundary and Initial Conditions
3. Linear Partial Differential Equations of the First Order
4. Wave Equation in One Spatial Variable – Cauchy Problem in R
5. Diffusion Equation in One Spatial Variable – Cauchy Problem in R
6. Laplace and Poisson Equations in Two Dimensions
7. Solutions of Initial Boundary Value Problems for Evolution Equations
8. Solutions of Boundary Value Problems for Stationary Equations
9. Methods of Integral Transforms
10. General Principles
11. Laplace and Poisson equations in Higher Dimensions
12. Diffusion Equation in Higher Dimensions
13. Wave Equation in Higher Dimensions
Appendix A. Sturm-Liouville Problem
Appendix B. Bessel Functions


Libro en inglés:
https://www.academia.edu/27829563/_de_Gruyter_Textbook_Pavel_Dr%C3%A1bek_Gabriela_Holubov%C3%A1-Elements_of_Partial_Differential_Equations-De_Gruyter_2014_.pdf




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