Math Methods 2

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

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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