Section
Partial differential equations
PDE formulations, solution classes, evolution problems, and differential operators.
Core idea
These entries introduce the language used to specify and analyze partial differential equations.
Definitions and equations
- Cauchy problem for an evolution PDE
- Classical solution of a PDE
- Conservation law in divergence form
- Finite-time blowup in a specified norm
- Initial datum for an evolution equation
- Linear partial differential operator
- Local well-posedness of an evolution problem
- Maximal existence time in a solution class
- Partial differential equation
- Principal part of a differential operator
- Transport equation