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Results tagged with ca.classical-analysis-and-odes
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user 51695
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
25
votes
On which regions can Green's theorem not be applied?
There is a fun reverse definition that is used for so called "currents" in geometric measure theory, objects for which then in Green's theorem always ends up trivially being true. But then using the r …
- 2,504
4
votes
Accepted
Regular Lagrangian flow for "square root example": $\frac{d}{dt} X(t,x) = \sqrt{X(t,x)}$
Your intuition is right. The key is in the paper you cite, in that they consider uniqueness in the class $L^1_{\text{loc}}$, which does not allow for concentrations. If you add to this, that the Lagra …
- 2,504
1
vote
Equivalence of statements about level sets: $u|_{S \times [\tau, \infty)}$ depends only on $...
If I am not missing something then the corrected statements look equivalent to me on the level of sets, no need for smoothness.
Fix $\tau > 0$ and assume that 1. holds. For any $t\geq \tau$ and $y \in …
- 2,504