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Results tagged with hyperbolic-pde
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user 12120
Questions about partial differential equations of hyperbolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
4
votes
Accepted
On a conjecture of Lions for the wave equation
You will find your answer in this article:
http://www.sciencedirect.com/science/article/pii/0022247X89902059
- 13k
4
votes
Accepted
Crandall & Rabinowitz Theorem, bifurcation curves
Here is a simple example in $R^2$: $G(u)=(-u_1+u_2^3,u_2-u_1^3)$.
- 13k
1
vote
A hyperbolic partial differential equation (wave-like) with variable-dependent coefficient a...
If $\epsilon$ is not zero, you need initial conditions in the $\phi$ direction. In general, the resulting solutions will oscillate rapidly when $\epsilon$ is small. Your formal expansion in powers of …
- 13k
1
vote
Accepted
Regularity of solution to a hyperbolic pde
If you want f to take values in $V^*$ rather than $H$, you can do this if you assume more temporal regularity on f. Basically, the idea is to integrate by parts in the term
$\int_0^t \langle u',f\rang …
- 13k