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Results tagged with ap.analysis-of-pdes
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user 41947
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
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0
answers
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Analytic continuation of an NLS soliton
The attractive nonlinear Schroedinger equation $i \partial_t \psi = - \frac {1} {2} \Delta \psi - |\psi|^{p-1} \psi$ in the $H^1$-subcritical case $1 < p$, $\frac {d} {2} + \frac {2} {p-1} < 1$ has a …
- 1,105
6
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PDE’s whose solutions can be presented using path integrals
I believe the physicist's heuristic derivation the path integral formula for the Schroedinger equation can be generalized to arbitrary linear partial differential equations, although I don't have a cl …
- 1,105