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Results tagged with ap.analysis-of-pdes
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user 17261
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
13
votes
Does Physics need non-analytic smooth functions?
In the BCS-theory of superconductivity the energy gap that seperates the ground state from the excited states is a non-analytic function of the exchange energy.
Here one doesn't use a taylor expansio …
- 2,753
5
votes
Accepted
on an inequality of Brezis-Lieb
No, choose $\Omega=\{z \in \mathbb{C} : |z| \leq 1 \} ,\ f(z)=Re\
z^{n}$ and let $n\rightarrow \infty$ .
- 2,753
6
votes
Open problems in PDEs, dynamical systems, mathematical physics
For a list of 15 open problems in mathematical physics (in 2000) see Simon's Problems, http://mathworld.wolfram.com/SimonsProblems.html.
Some of these problems are solved, as mentioned in the link.