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1
Q

Greens function for the heat equation. The one that derives the radiation conditions

A

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2
Q

continuity condition

A

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3
Q

jump condition

A

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4
Q

both jump and continuity conditions combined

A

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5
Q

formula for greens function

A

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6
Q

reciprocity implies what

A

BVP self adjoint

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7
Q

born approximation?

A

u(x) roughly equals the first two Neumann series

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8
Q

what to remember about the free space conditions.

A

1/2pi —> 1/4pi

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9
Q

normal fredholm alternative

A

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10
Q

formally self adjoint conditions.

A

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11
Q

sturm louville conditions

A

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12
Q

eigenexpansion equation for Greens function

A

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13
Q

divergence theorem

A

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14
Q

u(x) = ? as eigenfunctions

A

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15
Q

formally self adjoint conditions when p,r,q are real

A

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16
Q

free space Greens functions in 2d and 3d

A

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17
Q

no zero eigenvalue implies what

A

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18
Q

∇⋅(f∇g) = ?

A

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19
Q

fredholm alternative in matrix form

A

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20
Q

neumann series

A

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21
Q

∇⋅x

A

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22
Q

∇|x|

A

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23
Q

radiation conditions?

A

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24
Q

fredholm integral equations 1st and 2nd

also volterra

A

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25
Q

if there exists a non trivial soln then

A

there will be a zero eigenvalue

26
Q

what is means then Ƙ(x,y) is separable

A

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