April 1, 2005Communications in Partial Differential Equations
A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds
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Implication
Analysis shows a Strichartz inequality for solutions of the Schrödinger equation on asymptotically conic Riemannian manifolds, suggesting implications for mathematical physics.
Key Points
- The Strichartz inequality demonstrates specific bounds for solutions of the Schrödinger equation.
- Key results reveal properties of nontrapping asymptotically conic Riemannian manifolds.
- The analysis applies to smooth three-dimensional Riemannian manifolds, indicating a significant mathematical result.
- Potential implications for understanding wave dynamics in complex geometries are suggested.
Cite This Study
Hassell et al. (2005) studied this question.