Math Methods 2

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S D F D Z X U X C C O N S T A N T A J W H
B L U W L T U C O G U E S R O P X V O M W
K T F C R I N C T X S M N V O B I L R H H
Q Q O A W J A D T Y D I L N P O I D N W K
G U N D V K I A B N P H A C J X W B J K Q
T F A E K M C L T X U Q P T U Q V L C L J
E F I X Y W A J X Y R Q L X I W O Y L W X
Y T C I Y T L E R V Q R A E S R J E J V Y
F S A F C K P Y H X B Y C Y C X K I I F T
O V L R P R A H J Y H K I X O G U L G H H
P L P O C I L I K S H Y A O N J R W G T B
Q V A F S W T F K M G V N E S E I F K B S
E G L A N F D C Y I S U F I T W Q D F Y H
B R J X R I U G U Y T H D U A V L B Y G N
B K O N I W D R T D D B E C N M U A M V G
A D L X J D N B X E I E L C T L C S H T E
I Q H A C J T H K F O V T P O O C C O I R
K K O N A H P E L R H T A Q R I I R C E B
D C P I J B T D E N M R X P U A O Y B A B
N Q A L F J F V L Q E B A O X W P T S I H
K R Q O E E J J P K F Y F S S D R A C U W

Clues

  • If F(x,y,z)=F(x,z) what is the EL equation? (8, 8)
  • State the alternative vanishing lemma (3)
  • What are the outcomes of the strong maximum principle? (1, 2, 8, 2, 2)
  • What is a Green's function for the Dirichlet problem? (5, 4)
  • What is Poisson's equation? (9, 2, 1, 1)
  • What is the fundamental solution of Laplace's equation? (9, 1, 6, 1)
  • What is the Heat equation? (13, 1)
  • What is the shifted Newtonian potential? (5, 1, 3, 5, 1)
  • What is the solution of the Dirichlet problem? (3)
  • What is the solution to the Cauchy problem? (3)

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