Math Methods 2

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