5. The Heat Equation Flashcards
1
Q
Heat Equation.
A
2
Q
Definition 4.1
IBVP for ID HE
A
3
Q
Definition
Space-time rectangle
A
4
Q
Theorem 5.2
Maximum principle.
Strong max. principle.
What does it apply to?
A
5
Q
Theorem 5.3
Uniqueness and stability.
A
6
Q
Heat equation energy.
A
7
Q
Definition 5.4
IBVP with Neumann conditions for 1D HE
A
8
Q
Superposition principle.
A
9
Q
Approximation of solutons to 1D HE using superpositon.
A
10
Q
Duchamel’s principle
A
11
Q
Theorem 5.6
Duchamel
A
12
Q
Solution to 1D HE with homogenous Dirichelt BC
A
13
Q
1D HE Cauchy Problem and
Compact support.
A
14
Q
Dirac distribution
and solution to 1D HE Cauchy
A
15
Q
Definition
Fundamental solution or Green’s Functions
A
