Math Methods 2

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

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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