On uniformization of Burnside's curve y2=x5−x
The main objects of uniformization of the curve y2=x5−x are studied: its Burnside's parametrization, corresponding Schwarz's equation, and accessory parameters. As a result we obtain the first e...
The main objects of uniformization of the curve y2=x5−x are studied: its Burnside's parametrization, corresponding Schwarz's equation, and accessory parameters. As a result we obtain the first e...
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as n&plusm...
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as n&plusm...
Toward a gauge theory for evolution equations on vector-valued spaces
J. Math. Phys. 50, 103520 (2009); doi:10.1063/1.3227666
Published 5 October 2009
You are not logged in to this journal. Log in
We investigate symmetry properties of vector-valued diffusion and Schrödinger equations. For a separable Hilbert space H we characterize the subspaces of L2(![[openface R]](http://scitation.aip.org/servlet/GetImg?key=JMAPAQ000050000010103520000001%3A0%3A0%3A28&t=a&d=a)
3;H) that are local (i.e., defined pointwise) and discuss the issue of their invariance under the time evolution of the differential equation. In this context, the possibility of a connection between our results and the theory of gauge symmetries in mathematical physics is explored.
©2009 American Institute of Physics
| History: | Received 5 March 2009; accepted 21 August 2009; published 5 October 2009 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/50/103520/1 |
| BUY THIS ARTICLE | (US$24) |
|
|
Connotea
CiteULike
del.icio.us
BibSonomy
REFERENCES (13)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- Aliprantis, C. D. and Burkinshaw, O., Positive Operators (Springer-Verlag, Dordrecht, 2006).
- Amann, H., Linear and Quasilinear Parabolic Problems (Birkhäuser, Basel, 1995), Vol. 1.
- Arendt, W. and Thomaschewski, S., “Local operators and forms,”
Positivity 9, 357 (2005) . - Bolte, J., Cardanobile, S., Mugnolo, D., and Nittka, R., in Mathematical Analysis of Evolution, Information and Complexity, edited by W. Arendt and W. Schleich (Wiley, Berlin, 2009), pp. 181–196.
- Cardanobile, S., Mugnolo, D., and Nittka, R., “Well-posedness and symmetries of strongly coupled network equations,”
J. Phys. A 41, 055102 (2008) . - Dautray, R. and Lions, J. -L., Mathematical Analysis and Numerical Methods for Science and Technology (Springer-Verlag, Berlin, 1990), Vol. 3.
- Flügge, S., Practical Quantum Mechanics, Classics in Mathematics (Springer-Verlag, Berlin, 1999).
- Manavi, A., Vogt, H., and Voigt, J., “Domination of semigroups associated with sectorial forms,”
J. Oper. Theory 54, 9 (2005) . - Meyer-Nieberg, P., Banach Lattices, Universitext (Springer-Verlag, Berlin, 1991).
- One-Parameter Semigroups of Positive Operators, Lecture Notes in Mathematics Vol. 1184, edited by R. Nagel (Springer-Verlag, Berlin, 1986).
- Ouhabaz, E. M., Analysis of Heat Equations on Domains, LMS Monograph Series Vol. 30 (Princeton University Press, Princeton, 2005).
- Teufel, S., Adiabatic Perturbation Theory in Quantum Dynamics, Lecture Notes in Mathematics Vol. 1821 (Springer-Verlag, Berlin, 2003).
- Vogt, H., “The regular part of symmetric forms associated with second order elliptic differential expressions,”
Bull. London Math. Soc. 41, 441 (2009) .
