Math Methods 2

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