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Results tagged with differential-equations
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user 5985
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
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answer
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helmholtz zero in R^3
a friend and i are working on a research problem and we just hit a wall:
if $u$ is a solution of the 3-dimensional helmholtz operator $\Delta + k^2$ in the ball $B_r(x)$ of radius $r > 0$, then does …
- 22.3k
1
vote
2
answers
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maximum decay rate
we know $u$ (if it is a solution to the wave equation in $\mathbb{R}^3$) decays as $1/t$ as $t$ goes to $\infty$. this comes easily from spherical means. but how do we know this is the maximum possibl …
- 39.1k