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Arnold's Trivium
1991 Arnold's Trivium
64
Problem 64
Problem 64
Source:
July 1, 2010
algebra
function
domain
Problem Statement
Does the Cauchy problem
u
∣
y
=
x
2
=
1
u|_{y=x^2}=1
u
∣
y
=
x
2
=
1
,
(
∇
u
)
2
=
1
(\nabla u)^2=1
(
∇
u
)
2
=
1
have a smooth solution in the domain
y
≥
x
2
y\ge x^2
y
≥
x
2
? In the domain
y
≤
x
2
y\le x^2
y
≤
x
2
?
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