Partial differential equations classical theory with a modern touch
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematica...
| Otros Autores: | , |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press
2020.
|
| Colección: | CUP ebooks.
Cambridge - IISc series. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b45401615*spi |
Tabla de Contenidos:
- First-order partial differential equations : method of characteristics
- Hamilton-Jacobi equation
- Conservation laws
- Classification of second-order equations
- Laplace and Poisson equations
- Heat equation
- One-dimensional wave equation
- Wave equation in higher dimensions
- Cauchy-Kovalevsky theorem and its generalization
- A peep into weak derivatives, Sobolev spaces and weak formulation.
