Math Methods 2

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

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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