Math Methods 2

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

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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