Math Methods 2

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

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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