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Results tagged with hyperbolic-pde
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user 613
Questions about partial differential equations of hyperbolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
3
votes
Accepted
Well-posedness of PDE with $\partial_{tt}\Delta u$ - like term
Here's what I would try:
Check that for each $t$ and $f \in S$, where $S$ is an appropriately chosen function space, there is a unique solution to the elliptic problem:
$$ L\phi = f \text{ on }\Omega …
- 27.5k
5
votes
Accepted
Principal symbol for non-linear differential operators
I've seen only the first. It is indeed used mostly for identifying whether a nonlinear PDE is elliptic, hyperbolic, or parabolic. If so, one can use the respective linear theory, along with the approp …
- 27.5k