Inhomogeneous Strichartz estimates
Robert J Taggart
TL;DR
This paper develops abstract inhomogeneous Strichartz estimates for dispersive operators, extending prior results and deriving new estimates for wave and Schrödinger equations with potentials.
Contribution
It generalizes previous inhomogeneous Strichartz estimates to a broader class of dispersive operators, including applications to wave and Schrödinger equations with potentials.
Findings
Derived new inhomogeneous Strichartz estimates for wave equations.
Extended estimates to Schrödinger equations with potentials.
Unified framework for dispersive operator estimates.
Abstract
We present abstract inhomogeneous Strichartz estimates for dispersive operators, extending previous work by M. Keel and T. Tao on the one hand, and generalising results of D. Foschi, M. Vilela, M. Nakamura and T. Ozawa on the other hand. It is shown that these abstract estimates imply new inhomogeneous Strichartz estimates for the wave equation and some Schr\"odinger equations involving potentials.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Electromagnetic Simulation and Numerical Methods