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Results tagged with ca.classical-analysis-and-odes
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user 98733
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
4
votes
0
answers
91
views
Are Sobolev isometries in Minkowski space smooth
Let $\Omega\subset\mathbb{R}^d$ be an open regular domain and let $f\in W^{1,\infty}(\Omega;\mathbb{R}^d)$ satisfy that $df\in\operatorname{SO}(d)$ almost-everywhere. It was proved by Reshetnyak (in a …
- 63.9k
2
votes
1
answer
171
views
A question about solutions to ordinary differential systems
Consider the second-order ordinary differential system
$$
A y'' + i B y' - C y = 0,
$$
where $A$ and $C$ are real-valued $d\times d$ SPD matrices satisfying
$$
I \le A,C \le 2I,
$$
and $B$ is real-val …
- 808