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Results tagged with hyperbolic-pde
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user 11211
Questions about partial differential equations of hyperbolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
7
votes
1
answer
613
views
Upper bound on the number of convex connected components of the complement of the zero set o...
The classic Milnor-Thom upper bound on the sum of the Betti numbers of real algebraic sets (for a nice exposition and references, see e.g. N.R. Wallach, On a Theorem of Milnor and Thom, in S. Gindikin …
- 7,817
4
votes
1
answer
478
views
Decay estimates for wave and Klein-Gordon equation in "generic" curved backgrounds
Consider a $d$-dimensional smooth Lorentzian manifold $(M,g)$ (we assume $d\geq 3$, $M$ to be Hausdorff, paracompact and connected, hence second-countable, and that the signature convention of $g$ is …
- 7,817