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Results tagged with reference-request
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user 173418
This tag is used if a reference is needed in a paper or textbook on a specific result.
1
vote
0
answers
79
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In which Sobolev spaces nonlinear wave equation is locally well-posed?
We consider nonlinear wave equation as follows:
$$\partial_t^2 \psi - \Delta \psi = \pm |\psi|^{2\sigma} \psi, \quad ( \psi(0, \cdot),\psi_t(0,\cdot))=(\psi_0,\psi_1)$$
where $\sigma \in \mathbb N, …
- 325
3
votes
1
answer
145
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positive functional on Banach *-algebra (with appro. identity) is continuous?
Theorem (N. Th.Varopoulos): Let $\mathcal{B}$ be a Banach *-algebra
with a bounded approximate identity. Then every positive functional $T$ on $\mathcal{B}$ is continuous.
I think this theorem is prov …
- 325