Math Methods 2

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

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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