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The seminar focused on existence and uniqueness theorems for the Cauchy problem in nonlinear hyperbolic systems.
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The seminar focused on existence and uniqueness theorems for the Cauchy problem in nonlinear hyperbolic systems.
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Related words
Cauchy problem
Noun
(mathematics,
mathematical
analysis)
For
a
given
m-order
partial
differential
equation,
the
problem
of
finding
a
solution
function
u
on
ℝⁿ
that
satisfies
the
boundary
conditions
that,
for
a
smooth
manifold
S⊂ℝⁿ,
u(x)=f_0(x)
and
(∂ᵏu(x))/(∂nᵏ)=f_k(x),
∀x∈S,
k=1…m-1,
given
specified
functions
f_k
defined
on,
and
vector
n
normal
to,
the
manifold.
Japanese Meaning
ある階数の偏微分方程式において、ℝⁿ上のある滑らかな多様体Sにおいて、解関数uとその法線方向の1次から(m-1)次までの導関数が、指定された関数f₀, f₁, …, f₍ₘ₋₁₎と一致するような解を求める問題。 / 数学解析における初期値問題の一種で、偏微分方程式に対して与えられた初期（または境界）条件を満たす解の存在と一意性を考える問題。
Related Words
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