Constructing topologically distinct energy-critical curves in the path space of the Euclidean line
2007
Abstract We construct topologically distinct global, non-embedding solutions to the Euler–Lagrange equation for a natural energy functional on the space of maps f : R → E .
Keywords:
- Universal differential equation
- Examples of differential equations
- Mathematical analysis
- Semi-implicit Euler method
- Energy functional
- Mathematics
- Differential geometry of curves
- Separable partial differential equation
- Euler–Lagrange equation
- Topology
- Differential geometry
- Euclidean geometry
- First-order partial differential equation
- Differential equation
- Partial differential equation
- Linear differential equation
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