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Results tagged with ap.analysis-of-pdes
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user 49208
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
2
votes
Proof of the "Neo-classical Inequality", a fractional extension of the binomial theorem
As far as I know this inequality was first proved by Terry Lyons in 90-s by standard method of Lagrange multipliers.
- 1,560
0
votes
Derivatives of radial functions can be bounded by derivatives in terms of radial distance?
There are many estimates of Sobolev type of the form
$$
||D^{\alpha}f||_1 \le ||\Delta f||_2
$$
for different pairs of norms. For your case the r.h.s. will be one-dimensional in r
$||(D^2-\frac{n-1}{r …
- 1,560